@ gkey:
some random things after looking at your screens and reading about your progress:
1. i did build 2 or even 3 workers myself in my game (before first settler ) to speed up early-game chopping. i also lost both woodies between 1000 BC and 500 BC, so you did a lot better in workerstealing then i did (got 6-7 only earlygame, if i remember right, rest only after capturing them with the cities)
2. forget about the academies. try to get the gps for another ga instead. with all settled and cottaged it´s a bigger and, more important, a faster boost of your economy
3. at the highest point of my research curve (and in a ga), i managed to get a bit over 2900 beakers without loosing money (and over 4000 at 100% research

). was around 1350 AD with the invasion already in full operation but without cities on the other continent comming out of revolt and therefore without colonial upkeep (and smethod delayed). so i guess with full focus on commerce and without going for invasion 3500 beakers might be doable (at least in a ga).
after smethod, oversea-upkeep and without ga, my research stabilized around 1700 beakers, droppinig only slowly due to more upkeep comming each turn...
4. go for the taj
5. go for sol (forge, org + bureau and you should get it in around 15 turns in capital)
6. you should have built the wonder that speeds up worker-improvements
7. i started hating micro along the process of settling 250.000 cities, and at a certain point simply stopped it (was even thinking about automation workers to be honest) and put all cities to chainproduce cavallry or ships... ...how about you?
...
edith adds:
about my game, i´m struggeling right now a bit with motivation, reached 1510? AD and 6 % are missing for the dom.limit, all bigger enemy stacks are destroyed already (from all remaining nations, around 150 units in stacks in total, losses around 20-30 units on wang´s side) so it´s all down to moving a lot of units around and hitting buttons...