QQ when AK flops

[kurtcobain]

Raise 3x the BB w/ QQ, SB (assuming an average, decent player) calls. Flop comes AKx. Checked to you on the flop, what do you do? (I check it back.) Turn is another blank, checked to you, what do you do? (I check it back.) This is also how I'd play it in a cash game. Not really worried about free cards, and if you bet after raising preflop w/ AK on board, you're only getting called if you're beat. Any thoughts? Maybe bet half the pot on the flop/turn?