OK, I will authorize Masonry as a required detour (after Math) otherwise it would be too tough without Hammams. Which means we can (optionally) build 'mids, since we're likely to be in a specialist economy.
Going to play 41 turns to start. Not a no-cottage challenge, since I went with Pholk's "Pottery First" start. (We have tons of floodplains, why not?)
Turn 1:
Settle Istanbul on the flood plains site, 1E of start.
Get Scouts from a hut, they will be useful.
Start Worker (18) and Pottery (15).
Turn 3:
Talk to some natives and they give us... another Scout! Lucky!
Turn 4:
Meet Augustus Caesar... and he's friggin' nearby. We need an army soon.

Now, we are definitely going to expand to the west first.
Get 24 gold from a hut.
Turn 6:
Meet Brennus.
Get 79 gold from a hut.
Turn 7:
Get maps from a hut.
Spot Brennus' location... also uncomfortably nearby, on the South end.
Turn 10:
Meet Napoleon, a certified backstabber.

Fortunately, he's quite far.
Turn 11:
Scouts get experience from a hut.
IBT: Scouts beat Lions. Hmm... sounds like a baseball game to me.
Turn 12:
Other scouts also get experience from a hut.
Turn 13 (3610 BC):
Augustus Caesar adopts Slavery!!!
Turn 14:
Meet Isabella.
IBT: Scouts kill 2 lions, not that it matters since they're already at 5XP.
Turn 16:
Meet Montezuma. Okay, that's the second backstabber on this map.
Isabella and Monty are really close neighbors. I certainly hope they don't get along.
Turn 17:
Istanbul: Worker -> Granary
Scout stops in uncomfortable location.
IBT: Scout beats Wolf.
Turn 18:
Meet Alex, the third backstabber on this map.
Turn 19:
Napoleon founds Buddhism.
Turn 21:
Warrior kills wolf.
Get 39 gold from a hut.
IBT: Scout beats Wolf.
Turn 22:
Research: Mining -> Bronze Working
IBT: Warrior beats Wolf.
Turn 23:
IBT: Scout beats Panther.
Turn 27:
We have encircled the globe, but where's the Circumnavigation bonus? Guess there's none on Lakes, eh?
TO BE CONTINUED...