When it comes to running test games, I like to compare apples to apples, as much as possible, to make for easier comparisons.
Techs
Hunting first seems to be a no-brainer no matter what we do. We get a base 0% bonus Flasks when researching that tech (for most other techs that aren't in the first column or techs and aren't Astronomy, we get a base 20% bonus to Flasks, plus an additional small percentage for each AI whom we have met who already has learned the tech that we are researching), and we'd need to meet 6 AIs who started with Hunting (AIs get Archery for free, but not Hunting, so that would mean probably meeting every AI) just to get 1 bonus Flask per turn from knowing other AIs who know that tech (i.e. for getting "piggyback" research from having met sufficient AIs who know a tech). That possibility is not practical, so there's no reason to "wait to meet the AIs" before learning Hunting. In fact, meeting too many AIs early on will likely hurt us far more than help us, thanks to WFYABTA counters.
For the most part, for other techs, we won't get bonus Flasks for knowing other AIs until we're making plenty of Flasks per turn, so we should probably still focus on which techs make the most sense for a given opening. It is actually possible to even lose a Flask on the last turn of completing a tech when at least 1 AI whom you have met knows that tech, due to the game removing the small fractional piggybacking bonus from any overflow Flasks that we might have earned.
For ease of comparison's sake of our Commerce earned, I'll avoid meeting other AIs (to avoid any chance of piggybacking Flasks altering the results) and will tech Hunting -> Mining -> Bronze Working -> Pottery. There's a minor chance that Churchill will research a tech before us, but more likely, he'll trail our research on Mining -> Bronze Working and thus his research shouldn't affect our results.
After Mining, we might instead go straight for Writing -> Alphabet or else we might go Bronze Working -> Pottery -> Writing -> Alphabet. Later testing can determine the best tech path for our given chosen opening; for now, we just want to figure out where to settle, so I just need a way to compare the openings to each other so that we can get this game moving forward.
For the case where we'd benefit from early Animal Husbandry, I'll stick to the same above tech path for comparison's sake. For 2 N (Green X), we'd actually go Hunting -> Animal Husbandry. For 1 N, we'd actually go: Hunting -> partial Mining -> possibly Animal Husbandry once we see where Churchill's Cultural Borders go. For the cases where I need to Pasture a Cow, I will simply World Build Animal Husbandry into our Civ's list of known techs, so that each game will use the same tech path, to give us the most straight-forward of comparison for Flasks earned. Remember that we should meet any AIs to avoid the chance of piggyback Research from techs that they know affecting the final totals.
Build Order
Should we go for Worker first? Almost certainly, unless we can settle 2 Cities on the same River as each other, in which case Settler first could actually be an interesting opening choice, getting us our Trade Routes without needing Roads. We'd then have 2 Cities which could each build their own Workers.
For example, let's say that we settled 1 SE. We could have our Settler on Turn 21.
Our second City could then get settled at:
Green X if Churchill is on our continent, to fight for control of the Cow by settling adjacent to it early enough
Red X if Churchill is overseas, as then we get the second Fur, the Cow, and coastal status, plus 4 Forests for The Great Lighthouse, and we'd make the City a whipping City by working G Riv Farms.
Other than for the Settler gambit, Worker first should be seen as a no-brainer.
When should we start on Settler 2? I'm going to suggest that we do so at Size 3 or Size 4. Size 2 seems to be a bit premature given that we will have 2 Food Resources to help us grow, but if someone can show that starting on a Settler at Size 2 (with an opening where we build Worker first) is the way to go, then all of the power to you! I will focus on Size-3 Settler testing first, as we need somewhere to start and this approach seems to work reasonably well.
Don't forget that City 2 working a G For square contributes 2 Food, 2 Hammers, and 1 Commerce per turn at a cost of 2 Gold in Maintenance per turn (or 1 Gold in Maintenance per turn if settled 3 plot squares away--the first diagonal counts as 1 while the second diagonal counts as 2), so simply settling City 2 is a strong move. Add 2 Commerce to that total as soon as a Trade Route is set up between the two Cities, and add additional Food, Hammers, or Commerce if we can work a square better than a G For square from the initial founding of City 2.
Comparison Turns
We need some way to compare. I'd rather not involve the settling of City 2 into the comparison for any Worker-first approach (although we should include the settling of City 2 for a Settler-first approach), even though City 2 will contribute overall to the empire, as we don't yet know where we'd settle. If we see Flood Plains Corn + 2 Gold Resources, it's going to be very hard to pass up on that location, so anywhere that I settle now might not reflect what we'd do when we find the "Rich" area of the map, so I won't settle City 2 (except for the Settler-first approach) and thus you'll just have to mentally calculate the value of getting our Settler 2 earlier.
Since Turn 32, 2840 BC is when we get our Settler 2 in some cases, let's use that turn as the main comparison turn. I'll also try to use Turn 23, 3080 BC as a secondary comparison turn, to help with deciding between micro choices (do we Camp the Deer first or do we Farm the Wheat first being a decision that we can hopefully decide upon with help from the Turn 23 statistics).
Forests
Forests can contribute to getting our empire started (Chopping into an early Worker 2 or Settler 3, Chopping into a Granary, possibly Chopping into a Library, and having Forests to Chop into Oxford University are all important considerations).
We won't be playing out the test games far enough to really see the benefits, so we will just have to compare the options available and keep this Forest factor in mind.
Not counting the Deer and Fur squares, we have these Forests:
1 E Forests
Churchill on our continent: 2 big fat cross, 3 next Cultural ring
Churchill on an island: 2 big fat cross, 5 next Cultural ring
1 N Forests
Churchill on our continent: 3 big fat cross, 4 next Cultural ring
Churchill on an island: 4 big fat cross, 4 next Cultural ring
2 N (Green X) Forests
It doesn't matter where Churchill is: 4 big fat cross, 1 next Cultural ring
We wouldn't likely Chop Forests in the next Cultural ring until they are both within our Cultural Borders and we have learned Mathematics, bringing them up from 10 Hammers to 24 Hammers each.
Camped Resources cannot spread Forests to nearby squares, so once a Forest has been Camped, it will no longer be able to spread to nearby squares.
It could be nice to Chop 1 Forest into Worker 2/Settler 3 and 1 Forest into our capital's Granary (making it one-pop-whippable), but doing so clear-cuts the big fat cross Forests if settling 1 E.
Testing Runs
A] 1 E: Farm Wheat -> Camp Deer -> Camp Fur
Turn 13, 3600 BC Worker 1
Turn 19, 3240 BC Size 2
Turn 19, 3240 BC Micro trick: Build Settler 2 for 1 turn
Turn 20, 3200 BC: Go back to building Warrior 2
Turn 23, 3080 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 1 / 26 Food
Warrior 2 exists
1 overflow Hammer
109 /179 Flasks in Bronze Working
Turn 31, 2880 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 1 / 26 Food
Warrior 2 exists
Settler 2 exists
18 Hammers in a Worker (complete in 4 turns)
72 / 119 Flasks in Pottery (complete in 3 turns)
B] 1 E: Farm Wheat -> Camp Deer -> Mine Wine
Turn 13, 3480 BC Worker 1
Turn 19, 3240 BC Size 2
Turn 19, 3240 BC Micro trick: Build Settler for 1 turn
Turn 20, 3200 BC: Go back to building Warrior 2
Turn 23, 3080 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 1 / 26 Food
Warrior 2 exists,
1 overflow Hammer
109 /179 Flasks in Bronze Working
Turn 31, 2760 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 1 / 26 Food
Warrior 2 exists
Settler 2 exists
23 Hammers in a Worker (complete in 3 turns)
60 / 119 Flasks in Pottery (complete in 4 turns)
C] 1 E: Camp Deer -> Farm Wheat -> Camp Fur
Turn 13, 3480 BC Worker 1
Turn 19, 3240 BC Size 2
Turn 21, 3160 BC Warrior 2, then dump Hammers into a Barracks for 2 turns
Turn 23, 3080 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 0 / 26 Food
Warrior 2 exists
5 Hammers in a Barracks
107 /179 Flasks in Bronze Working
Turn 32, 2720 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 0 / 26 Food
Warrior 2 exists
5 Hammers in a Barracks
Settler 2 exists
8 overflow Hammers into a Worker (complete in 5 turns)
69 / 119 Flasks in Pottery (complete in 3 turns)
D] 1 E: Camp Deer -> Farm Wheat -> Mine Wine
Turn 13, 3480 BC Worker 1
Turn 19, 3240 BC Size 2
Turn 21, 3160 BC Warrior 2, then dump Hammers into a Barracks for 2 turns
Turn 23, 3080 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 0 /26 Food
Warrior 2 exists
5 Hammers in a Barracks
107 /179 Flasks in Bronze Working
Turn 32, 2720 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 0 / 26 Food
Warrior 2 exists
5 Hammers in a Barracks
Settler 2 exists
11 overflow Hammers into a Worker (complete in 4 turns)
57 / 119 Flasks in Pottery (complete in 5 turns)
E] 1 N: Camp Deer -> Farm Wheat -> Camp Fur
Turn 12, 3520 BC Worker 1
Turn 18, 3280 BC Size 2
Turn 20, 3200 BC Warrior 2, then dump Hammers into a Barracks for 2 turns
Turn 22, 3120 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 0 / 26 Food
12 Hammers in Settler 2
Warrior 2 exists
5 Hammers in Barracks
121 / 179 Flasks in Bronze Working
Turn 31, 2760 BC Settler 2
Turn 32, 2720 BC STATS:
Size 3 with 0 / 26 Food
Warrior 2 exists
5 Hammers in Barracks
Settler 2 exists
20 Hammers in Worker 2 (complete in 4 turns)
87 / 119 Flasks in Pottery (complete in 2 turns)
F] 1 N: Camp Deer -> Farm Wheat -> Pasture Cow
Turn 12, 3520 BC Worker 1
Turn 18, 3280 BC Size 2
Turn 20, 3200 BC Warrior 2, then dump Hammers into a Barracks for 2 turns
Turn 22, 3120 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 0 / 26 Food
12 Hammers in Settler 2
Warrior 2 exists
5 Hammers in Barracks
121 / 179 Flasks in Bronze Working (although we'd actually have put Flasks into Animal Husbandry first)
Turn 30, 2800 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 0 / 26 Food
Warrior 2 exists
5 Hammers in a Barracks
Settler 2 exists
32 Hammers in a Worker: (complete in 2 turns)
64 / 119 Flasks in Pottery (complete in 5 turns)
G] 1 N: Farm Wheat -> Camp Deer -> Camp Fur
Turn 12, 3520 BC Worker 1
Turn 19, 3240 BC Size 2
Turn 21, 3160 BC Warrior 2, then dump Hammers into a Barracks for 1 turn
Turn 22, 3120 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 2 / 26 Food
12 Hammers in Settler 2
Warrior 2 exists
3 Hammers in Barracks
122 / 179 Flasks in Bronze Working (although we'd actually have put Flasks into Animal Husbandry first)
Turn 31, 2760 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 2 / 26 Food
Warrior 2 exists
3 Hammers in a Barracks
Settler 2 exists
20 Hammers in a Worker (complete in 4 turns)
84 / 119 Flasks in Pottery (complete in 2 turns)
H] 1 N: Farm Wheat -> Camp Deer -> Pasture Cow
Turn 12, 3520 BC Worker 1
Turn 19, 3240 BC Size 2
Turn 21, 3160 BC Warrior 2, then dump Hammers into a Barracks for 1 turn
Turn 22, 3120 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 2 / 26 Food
12 Hammers in Settler 2
Warrior 2 exists
3 Hammers in Barracks
122 / 179 Flasks in Bronze Working (although we'd actually have put Flasks into Animal Husbandry first)
Turn 30, 2800 BC Settler 2
Turn 32, 2720 STATS:
Size 3 with 2 / 26 Food
Warrior 2 exists
3 Hammers in a Barracks
Settler 2 exists
35 Hammers in a Worker (complete in 2 turns)
64 / 119 Flasks in Pottery (complete in 5 turns)
I] 2 N (Green X): Camp Deer -> Pasture Cow -> Camp Fur
Turn 13, 3480 BC Worker 1
Turn 21, 3160 BC Warrior 2, then dump Hammers into a Barracks for 2 turns
Turn 23, 3080 BC Size 3
Turn 23, 3080 BC STATS:
Size 3 with 1 / 26 Food
0 Hammers in Settler 2
Warrior 2 exists
7 Hammers in Barracks
103 / 179 Flasks in Bronze Working (although we'd actually have put Flasks into Animal Husbandry first)
Turn 32, 2720 Settler 2
Turn 32, 2720 STATS:
Size 3 with 1 / 26 Food
Warrior 2 exists
7 Hammers in Barracks
Settler 2 exists
8 overflow Hammers for a Worker (complete in 5 turns)
52 / 119 Flasks in Pottery (complete in 5 turns)
J] 1 SE Settler First, City 2 at 2 N (Green X)
Turn 21, 3160 BC Settler 2
Turn 22, 3120 BC Settle at 2 N (Green X)
Turn 23, 3080 BC STATS:
Size 1 with 0 / 22 Food; Size 1 with 0 / 22 Food
9 Hammers in Worker 1; 5 Hammers in Worker 2
114 / 179 Flasks in Bronze Working (although we'd actually have put Flasks into Animal Husbandry first)
Turn 32, 2720 STATS:
Size 1 with 0 / 22 Food; Size 1 with 0 / 22 Food
45 Hammers in Worker 1 (complete in 4 turns); 50 Hammers in Worker 2 (complete in 2 turns)
76 / 119 Flasks in Pottery (complete in 4 turns)
K] 2 N (Green X): Camp Deer -> Pasture Cow -> Camp Fur; Build Settler at Size 2
Turn 23, 3080 BC STATS:
Size 2 with 0 / 24 Food
35 Hammers in Settler 2
12 Hammers in Warrior 2
106 / 179 Flasks in Bronze Working (although we'd actually have put Flasks into Animal Husbandry first)
Turn 29, 2840 BC Settler 2 (not settled); complete Warrior 2 and then grow while building Barracks afterward
Turn 32, 2720 STATS:
Size 2 with 21 / 24 Food
Warrior 2 exists
10 Hammers in Barracks
Settler 2 exists
0 Hammers for a Worker (complete in 6 turns if we first grow to Size 3 before building it)
34 / 119 Flasks in Pottery (complete in 6 turns, counting the Commerce from working the Fur at Size 3)