This sure is an interesting game! As well as being our first Conquests game there are quite a few challenges in the map which make it more difficult than one might expect of Regent level. The challenges include finding a location for the capital, a low food region (forcing careful expansion and tradeoffs between settlers and workers), and no nearby horses for our UU. It will be very interesting to see what different approaches people have taken to these things and how they fared. I don't know whether my approach was anywhere near optimum. It might have worked better to go for Pyramids, to go ICS, to build some granaries, and to not try for early horses. We'll see as the reports come in!
Opening Moves
As planned pregame I moved the scout NE,N to the hills, and when he saw nothing moved the worker E, and when he saw nothing moved the settler N.
In 3950 I moved the scout N,NE to the gold mountain. This revealed some grassland on a river. That was much better than the start position but still not great - a food bonus would be much nicer. So I moved the worker E another tile before committing the settler. Nothing there so I moved the settler N to the mountain, following the scout.
In 3900 I moved the worker N, then moved the scout N then W to a mountain and saw a hut. (I moved the scout W at this point because he'd still have time to go north and east before the settler caught up, wanted to check as large an area as possible.) Still no bonus in sight so the settler moved N to the gold mountain, heading for the grass.
In 3850 I moved worker N then moved the scout N,N - if there were cattle even that far north I'd walk the settler to them. But no luck. So the settler moved NE to plains on a river beside grass. He'd settle there if nothing better showed up next turn.
In 3800 I moved the worker N, then moved the scout E,E to check the area the settler could reasonably reach. Nothing there. So that was it, the settler founded Hattusas at his river-plains location.
In hindsight I was in too much of a hurry to find any acceptable start location. As I write these notes I see that I should have considered moving the settler one more step north. That would have given Hattasus a BG tile and after border expansion the sugar tile.
My initial build sequence in Hattasus was scout, settler.
Exploration and Expansion
My first scout continued clockwise around Hattasus till he was south of it, then headed south. My second scout headed west and when he encountered the coast went south.
In 3100BC I popped a settler from a hut far south of Hattusas. It was a difficult choice whether to return him to the home region or settle where he was. I decided to settle there, on the coast beside gems. The walk home was just too long when I allowed for going past home to reach grassland.
The first settler I produced went northwest from home to settle on plains beside another river, claiming 2 BG tiles. By the time I produced a second settler in 1990BC I'd explored most of our continent and had traded for The Wheel. There was just one source of horses that I might claim without fighting, far southwest of home:
Horses seemed especially important in this game, to build Three-Man Chariots. But sending the settler on the long walk to claim those horses would cause my already sluggish expansion to become even slower. And would as a side effect keep my research rate slow. I decided to sacrifice expansion and go for the horses, trying to claim them before Sumeria got there. I claimed them in 1500BC but it was of course a long time (410BC) before I had the horses connected by road.
By 370BC, my cutoff date for this thread, I had 13 cities and my minimap looked like this (cropped to remove info sent back by galleys

):
Research
I decided to go for Republic as quickly as possible. At Regent level I could count on the AIs to lag behind in research so I'd get there by researching Writing, then Code Of Laws, then Philosophy. And, assuming I got to Philosophy first, that would allow me to take Republic as a free tech.
I started research on Writing at 100%. I didn't notice that anything was wrong for a while, until I was well advanced toward learning Writing. It finally dawned on me that it was taking a long time to learn and that I might have been better off using 50 turn research for it. (Due to the huge map research speed setting.) Oh well, I got there in 42 turns and perhaps that was for the best anyway.
I stayed at 100% research and learned Code Of Laws in 1125BC (29 turns) and then Philosophy in 875BC (10 turns.) I was first to Philosophy and got Republic as my free tech.
Along the way I'd popped five techs (Ceremonial Burial, Bronze Working, Warrior Code, Mysticism, The Wheel) and traded for four (Masonry, Iron Working, Horseback Riding, Polytheism.) I gave a number of techs to my rivals during this time to encourage them to research new subjects.
I revolted immediately upon discovering Republic and got a 3 turn revolution! I don't remember ever before having such a fast one. At least there was one nice effect from my slow expansion and low number of cities
Next I researched Map Making, and after that Literature. These were both unusual choices for me. Usually I get Map Making from another Civ by the time I want it, and usually I have higher research priorities than Literature. In this game the research pace was so slow that I figured I'd best get Map Making myself in order to get some galleys out exploring, and I'd best learn Literature in order to speed up my research rate with some libraries. I learned Map Making in 650BC, Literature in 490BC.
I traded for Mathematics, Currency, and Construction (I partially researched this but a rival learned it first so I got it via trade) and entered the Middle Ages at 370BC.
QSC Status
At 1000BC I had:
8 towns
no improvements
2 settlers
5 native workers, 3 foreign workers
3 archers
5 warriors
1 scout
299g in treasury
For a change of pace I didn't have any galleys exploring before 1000BC and thus my QSC timeline doesn't contain anything outside the scope of this spoiler. So I've uploaded my
QSC timeline here for anyone who is interested.