Your move...

[Tilt]

Laydown is the right play. He made a mistake with his flop bet - way too large with QQ - and in the long-run he will pay for it.

Without a read that he is not a solid player and is overly aggressive(which I think you now have) its hard to imagine he does not have an ace or aces. If the board was not a rainbow a semi-bluff would be much more likely. With a rainbow, AQ, AK, or AA is the best read.

Think of this - he bet almost 2X the pot with second pair! You'll only be getting 3:2 on your money to call. And call is not an option here, your hand probably won't improve, so you'd have to raise, which puts you making the same bad mistake of nearly tripling the pot with a bet on second pair with two cards to come. 5 handed in the late stages of a tournament you might be making aggressive plays like this, where you can chase people out, but this is the grind of ring games...where gambling like that busts you over time. And people call more often than not.

He may have a read on you, however, that you are playing pre-flop aggressive with TT or JJ. You have to ask yourself before folding what he must think you have, and whether he has good reason to think you do not have AA/KK or AKs. Without evidence that he has less though, fold. Keep notes and find him again, though. These are exactly the kind of players I love to hunt down and bust out of the weeds with hidden trips.