Pooh! I finally qualify to access this thread.
It took me quite a while to figure out the fastest way to set up my settler factory. After building the granary in 3000 BC, the first settler was produced in 2750 BC and from then on a 3½-4-4½-5 factory was in play. Later, after connecting the two luxuries, I added a slave to improve my income, and another was added so I had one settler finished in 3 turns right before we revolted.
This was how I managed:
Step 1: a second Worker asap
4000bc Settler ne, Worker nw on bonus grassland
3950bc Chichén Itza on the river, with wheat and all the hills in range (the only square to consider, really), Worker starts mining
3750bc Warrior produced, Worker is roading
3650bc Worker moves se to irrigate a grassland tile
3600bc Worker2 produced, moves to road the wheat
Step 2: irrigating the wheat
3450bc Chichén Itza expands, but does not yet need the wheat;
Worker1 has finished irrigating and moves se to cut one forest, there is no time for a road; Worker2 can now irrigate the wheat
3350bc as Worker2 is about to finish irrigating, Chichén Itza begins working the wheat so it will grow to size 2 at end of turn
Step 3: the granary
3300bc Worker2 moves n to road and then mine a second bonus grassland
3250bc Worker1 again skips roading and goes se to cut the second forest
3100bc Chichén Itza is now size 3
3000bc the Granary is completed
At this point the capital looks like this:
3000bc
In quick succession the Maya now founded 10 new cities, almost all of them on the rivers.
Meanwhile, we were making fast progress techwise, although we started with no research at all until Alphabet became available for trade.
Techs during despotism
4000bc Masonry, Pottery (starting techs)
3650bc Warrior Code (Aztecs), met them early

3050bc Ceremonial Burial (America), Bronze Working (Aztecs)
2800bc Alphabet (Spain), finally!
1950bc Writing (Maya), Mysticism (America), Iron Working (Spain)
1600bc Code of Laws (Maya), The Wheel (America)
1475bc Philosophy (Maya), The Republic (Maya)
We revolt and get a lucky draw: only 3 turns of anarchy!
Our Javelin Throwers barely reach the border with America in time.
War with America
1400bc The Maya are a Republic. Now, the Americans had very few defenders and a fair number of small cities. One of our Javelin Throwers kills an unfortified Spearman (must have rushed in from Washington) and triggers our
Golden Age, while capturing Boston.
1325bc Washington is taken without any problem. There are too few American defenders to give our Javelin Throwers even a single slave!
1300bc But we have few attackers left, too, and when they offer 3 cities for peace we accept. No elite was produced in this short war, let alone a leader.
Meanwhile, we use the Golden Age to build wonders and libraries. Workers join our capital after mining the hills and at size 12, it makes an awesome 38 shields per turn. Also due to the GA, research is pretty fast, too.
Ancient techs and wonders in Republic
1325bc Literature (Maya),
The Colossus (Palenque)
1225bc Polytheism (Maya), Map Making (Spain),
Mausoleum of Mausollos (Chichén Itza)
1100bc Monarchy (Maya)
1050bc Mathematics (Spain), Construction (hut), Horseback Riding (Aztecs)
1000bc
Forbidden Palace (Palenque)
950bc Currency (Maya),
Pyramids (Chichén Itza)
In 1050bc we had units standing ready at the remaining huts for this exact (and final) opportunity, and were rewarded.
QSC stats
firaxis score 389
20 cities
62 citizens
218 tiles
2 turns away from all ancient techs
3 luxuries (spices, silks, gems)
Colossus, Mausoleum of Mausollus, Forbidden Palace (Pyramids in 2)
1 granary, 1 temple, 4 libraries
1 settler, 19 workers, 4 warriors, 1 chariot, 2 galleys, 2 javelin throwers, 1 curragh, 2 slaves
1000bc