Bet/fold, to call the turn and have a 9 splash on the river, most of his draws picked up a pair somewhere along the way.
Andrew, I want to summarize what I understand of the situation. And follow up with some questions.
1) At this point our read is that villain is a loose aggressive regular.
2) Our hand is effectively AA against him. Because villain has a high three-bet %.
3) On the flop if we get raised, we can assume he has 2 pair, a set, straight, OESD, or a combo draw (pair + gutshot). Stove range is "77-33,98s,76s,65s,54s,43s,98o,76o,65o,54o,43o". So if we get raised on the flop, we are a 55:45 dog and we have to fold. He also flats sometimes with the same range to balance his calls.
4) On the turn, nothing changed. We are still a dog against that range. If he raises we have to fold.
5) You've already said that bet-folding a brick river is correct. And check-folding or bet-folding a draw completing river is correct.
Now for the questions:
1) So we raise the very top of our range. A good player flats on the button. A medium coordinated flop comes out. And now we have to bet-fold three streets against him. In other words, the only hands we can give him action with are two pair or better. Surely, this is very exploitable?
2) Isn't this an extrapolation of the cts suggestion -- check-fold the flop?