I put him on AA or KK. Pushing AA there is ballsy and borderline EV at best, but since you led out he's not putting you on a set, so it's possible that he's just trying to protect his hand.

No other hands make any sense to me. QQ wouldn't play the flop that way unless the player was an idiot; AsQs probably wouldn't put in a third raise pre-flop unless there's something about your table image you're not telling us. One possibility no one has mentioned is AK, but it doesn't seem like AK with a deep stack like that would be wanting to get a giant pot going with another very deep stack.

AA or KK it is. Folding your set there would be a hell of a fold, nonetheless. You've already put $60 in the pot, and got the flop you wanted (although jack high would clearly be better, and rainbow better still). You're not pot-committed but in the moment, you're psychologically committed.

I think given an hour to think this over, I'd fold it. In the heat of battle, I'd probably call, and if he had kings it would be no great surprise.