I tend to be weak and just call this raise with my QQ preflop, but being aggresive is fine.

I would definately not push this flop. It doesn't achieve anything except for you to lose money. If you are ahead, he is only really drawing to 2/3 outs, any bet and you are pot commited. I would see what he does on the turn, I'ld probably call 200 max but if he bets again on the river I would fold.