[James282]

He George - I hate the turn check raise here because you can bet and go for a three-bet so much more easily. Then again - I'd probably just cap it preflop because I do this with much more than KK and AA and these guys know it. But yeah, the line here is bet-raise call. Bet-raise three-bet.
-James

EDIT: Keep in mind that you just gave AK(or AQ) a free card if he indeed has that. For what it's worth - he needs to have exactly QQ for your play to be successful against these guys. Also, any of the hands he will bet on the turn he will also raise - which makes the bet-raise-threebet plan all the better.