[technologic]

the way the action has gone on the flop, i don't think the villain will be fooled into bluffing that kind of a board. if he does indeed have AA-QQ, it seems that your money is going in there anyway, so it doesn't matter if you're way behind, you're paying him off.

if you're way ahead, villain could still have possibly 2-6 outs, if he has JJ/AQ/TT etc. why give your opponent a free card, when he could pay you off, especially if he has said AQ?

in summary, the pot is huge, not a lot of cards can come that improves his hand and keeps you ahead, and no one's going to bluff that board based on pf action. this calls for a bet, i'd say a push is fine.