[bsball8806]

Preflop is fine.

I like betting the flop about 3.75. We don't have to worry about betting sizes for draws that much, as this is an extreme version of a WA/WB situation, and it's impossible he's on a draw. I think that JJ and QQ raise you if you bet, while KK, AA, 99, 88, 77 and the random 4 flat call.

Betting the turn is fine. When you flat call his reraise, then check the river A, your hand is basically face up (i'd put you on 99-JJ). If you had a 4, AA, or KK, you're leading this river 100% of the time. By the way, the A means nothing to me; no way either of you has an A/anything other than an A, and AA already had you beaten before he made the better full house.

I don't know if he's trying to push you off a better hand with his small river bet, but don't you think he'd bet more with a marginal bluffing hand like 99 (he also didn't go all in, making this bluff more unlikely) This smells of a hand that has you beaten that's begging for a call. I fold