So it would seem that we're using only Alchemy, Prosperity, Hinterlands, and Dark Ages. Unless you call "Dominion" just "base set."
There's several possible fast combos to go for here, though. Ironworks/Gardens is available, as is Native Village/Bridge. But Witch will probably slow those down, and since Baker is available, everyone can open Witch. But with Ambassador around, perhaps Curses aren't so good anyway. You could always go Big Money, of course. But then again, while you can get a Jack of All Trades, you can't go Double Jack.