Re: next AA
 

The flop must be capped. You have a villain who we assume is tight and agggressive from the small sample of hands. Yes you are losing to TT and QQ but the villain may play KK, AQ, or even JJ this way. When the villain leads the turn I agree with most of the previous posters that calling down is the best play even though the third player is still in the hand.

Re: next AA
 

I'm not sure we should be capping this flop, but I think I'm biased by looking ahead and seeing that villain led and 3-bet the turn anyway. Based on the preflop and flop action, villain has either KK or QQ. He might have TT (would he cap that preflop) and I guess he might have AQ (doesn't cap preflop and might not 3-bet the flop) or he might be grossly overdoing things with AK. It's easier for villain to have KK than QQ so I guess the flop is a cap, but IMO this is the street that's borderline. Raising the turn is clearly wrong; you told him you have an overpair, and he's not worried about it.