Studygroup hand: Slowplay?

I'm on the button with QQ. UTG, new player has only played a few hands, don't think he/she's a 2+2'er, only read is might be loose, limps. MLUZZ, who is playing the role of table maniac tonight raises, I reraise, UTG and MLUZZ call.


Flop is A-Q-Q, rainbow.


UTG checks, MLUZZ checks, do you check or bet and why?


Dynasty disagreed with the way I played the flop, so I am seeking opinions.