I want to thank everyone for their help. I cut my time down to 203. I made some mistakes that if corrected would get my time down a lot more:
Congratulations asmith! A significant improvement not only in the finish time but also in the empire strength and yields. Thanks for sharing.
You have inspired me to make one more attempt at this game, our of curiousity of how better could I do a second time. This time with a more normal approach with regards to religion I think I will also improve my time with at least 30 turns, maybe more. It seems that working Universities faster with smaller cities is better overall than just having big cities.
I went for 10 cities Liberty, also took Tradition for Aristocracy and then Exploration for happiness and production. With 10 coastal cities exploration pays off. This time I skipped ToA and instead built Great Library, Oracle and Hagia Sophia, together with all the other wonders as last game, but built more carefully so as to never spawn a Merchant. Used Liberty finisher for engineer Macchu Picchu. I don't know if Scientist for an academy would have been better overall but Gold seems to be very useful for the late game and surely Macchu Picchu helps.
Religion with Mosques and Pagodas this time, and for Pantheon I went with +2 faith from pearls since it seems to overall be better than OwN on this map.
I have 4 extra luxuries in my empire ( Marble, Copper, Salt and Cotton thanks to Pacal's monastery in the Mt.Sinai city.
I have captured Ribe from Denmark last turn and don't exactly know what's the best way to proceed. I could sell it to Pacal which only has his capital but for only 8 gpt... I could gift it to Brazil with whom I have a DOF and a RA, to take up that space. Keeping it, even if it gives Sugar, seems a bad idea since it has no buildings and it has to be a net-negative for science, slowing me down.
Right now turn 108 and I am already more ahead than the previous game. 9 Cities are already working Universities, and this time I will have end-game faith to buy at least 3-4 Scientists with Faith. Will take Rationalism in 2 turns and also build Sistine Chapel which will give decent culture with this many cities. And I've already signed 1 RA with Brazil.