I'll put forward an approach that if nothing else will set a beginning bar. I'll start with some justification as to how I think you could get the cards you need, and then we'll add up the points at the end.
Let's assume that the gods are smiling upon you (or that your neighbors are idiots) first and foremost. They play the perfect cards, including ones that give you lots of money.
Let's also assume for sake of argument you are sitting next to Rome(B) so you pay less for leaders (and maybe China so you get more money). Let's also assume you got Babylon(B) so you get to keep your second card as well as a wild scientific. This will allow you eight cards each round.
You probably don't need 8 in the first round as it would cost too much.
Now, assume you get one of the three of the leaders that give you a scientific card (Euclid, Ptolemy, or Pythagorus), Ramses (free guilds), and Archimedes (the one that makes each scientific cost one less).
So, you start out with 3 coins (having paid one less for Archimedes).
Grab a Tavern
Then the Pigeon Loft (A spy mask),
Bury once (5 coins remaining).
If your neighbors played the right cards, you could pick up an additional three coins.
(China First wonder section, and Gambling Den, back up to 8).
Play a military (preferably the Guard Tower so you don't have to pay),
Pick up the three scientific cards (Apothecary, Workshop, and Scriptorium).
(7 cards, first age done).
Win both military battles, and proceed to round two.
Play Ramses or your scientific leader (4 coins gone, down to 4).
Ladder the three scientific cards (Dispensary, Laboratory, and Library),
Buy the School (down to 2 coins),
Have a neighbor play the Gambling House (back to 4 coins),
Get the Vineyard and make boatloads of money
(nice neighbors, you could make 10-14, so lets assume 18 coins now.)
Get the Architect Cabinent
(wanted to get the Spy Ring for the mask, but I think it's just too expensive, this should cost 3, and now your wonders are free)
Bury once (still at 9 coins),
Now you get the 8th card, which you should probably bury for the free scientific.
2nd Age Finished.
Win both military battles again (thank you neighbors).
Play your last leader (down to 5 coins).
Ladder all 5 scientific cards (Lodge, Observatory, University, Academy, and Study).
Pick up the Scientist's Guild (free scientific),
Play Courtesan's Guild (use a neighbors scientific leader),
At some point have your neighbors have purchased enough brick from you that you can afford the Torture Chamber for the final mask.
Third Age over.
Win the final two military battles.
Let's figure out points.
So, all scientific cards (4 full sets), 2 masks, 2 wild scientific, and 2 scientific leaders (assume these fell just right so that you end up with 2 more sets).
So, 18 from military victories, and 6 full sets.
This gives you 150 from scientific with the 18 from military gives a total of 168 points.