[SNOWBALL]

When you have AA and there is a pair on board, and no straight or flush draws out there, you should be less inclined to raise unless you think it's for value, because there are no holdings that have significant outs against you. Given that the pot isn't really large, there's no reason to protect your hand here.
When you raise on the flop, you are just getting yourself heads up with a 4 or a 9, or a bluff. A nine might realize he is beaten and fold. A bluff will just give up ASAP. If he has trips however, he will happily reraise your ass. If you feel comfortable folding to that reraise, then that's ok. Otherwise, this is pretty much the worst way to play it.

Just call the flop, and let the button in with whatever bizarre hand he has. Let him peel with A7 or JT or w/e

On the turn, everything I said goes double.

On the river, you seem to have tricked everyone into thinking you have QQ. That's why they are checking. It's not because your hand is good. Just check behind.