Well, bostich's save inspired me to try SS again even though I couldn't load it. Ended up winning a completely peaceful SS game at T120.
I think I played it pretty well - close to optimal. I could've shaved a few turns off maybe doing some things differently, but the rest is up to luck of the map. I had faith buildings bought in all of my cities on T114 for 40 tourism per turn.
I thought about going warlike, but there was no runaway culture AI. 3 or 4 of them were close in culture and my last influential civ was completely on the opposite side of me. I chose Pilgrimmage instead of World Church to go along with the peaceful strat. Unfortunately the two AIs closest to me founded second and third religions so Pilgrimmage wasn't as great as it could have been.
Made some minor mistakes... mostly with city placement. Biggest mistake was I should have placed my city right next to Mt. Kailash instead of 2 tiles away (did not have enough gold to buy it), but this would have only made a 1 or 2 turn difference considering my tourism endgame.
I didn't get any faith from NW or CS to help found my pantheon, just my shrine. This meant a really late pantheon - 3rd or 4th one founded. Luckily I still managed to get faith from gems.
Bad luck with CS. Only managed to complete two relevant CS quests all game, and both of them were too late to really make a difference. Spawning next to religious CS would have helped a lot, and even though I had two cultural CS right next to me they only offered one quest that I could complete all game. I spent 500g to ally one of the religious which in hindsight would have been more efficiently spent on buying a settler. I never reached medieval era so the CS bonuses weren't that enticing.
You'll see in my SS below that the Uluru tile is still unclaimed pretty close to my capital which is a huge shame. I would have settled there in 5 more turns had Gandhi not beat me to it. That would have been my best chance to improve my finish time... but I doubt I could have finished much faster than T115 on this map, even with Uluru.
I think T100 is a pipe dream for SS with these gauntlet settings. Maybe T110-115 is possible with a combination of amazing map and optimal play, but I can't see it being faster than that. Of course, I'm open to new strat ideas and to be proven wrong
These are really fast games and this gauntlet lasts a full month so maybe someone will be able to pull it off. This game only took 1h22m and I tend to play slower than most.