Stacks are about $210. Villain is TAG-ish.
(max bet/raise is $100)

There are 2 limpers and hero makes it $14 to go from HJ with AK. Villain rr to $40 in the SB, the limpers fold and hero calls the $26 more.

Flop AT2 ($80)
Villain bets $50. We have about $170 left. Flat it or raise?

Flat then hope he fires turn and jam or just bet turn if checked to you.

Flat. The 3bet range is probably more Ax's and pp's than suited holdings. Flatting keep villain oop with decisions to make and spewing opportunities. Raising basically gets only better (or the rare sick draw which is around 50% anyway) to continue and worse to fold.

OP what's your image? I think that plays a pretty big role. With that said...

Villain being Tag-ish, him 3betting pre, and then cbetting OOP... Ya Im raising max here and not thinking twice about it. Holefully hero's image is somewhat aggro as in you'd play draws fast, erc. Makes it even better. I don't like the fact that we could level ourselves on a lot of turn cards. Seems V likes his hand so lets just get it in with this board. More than likely your gonna chop or beat AQ and in the rare case he has AA... You poda lose.

Raise all day. Another heart either kills your hand or your action a lot of the time and flatting on this board looks really strong. He 3-bet pre and c-bet an A high board, if he doesn't get it all in now he was never putting another $ into the pot anyway.

Agree with all of this. He isn't folding AJ/AQs and unlikely he has AA or 1010 here. He will fold QQ or KK to an all in. Any J, Q, or K would be a bad turn card for you.

My image is probably "quiet" though villain has only been at the table for about an hour. The game dynamics are generally: someone raises to $10 in front of me and 4 people call, so I've been folding a lot.

Blackhawk? Sure sounds like it.

I don't see how it's unlikely for a TAG villain 3B from SB to show up with AA here. If he's folding JJ-KK to max raise it's better to flat than raise...AP i'm flatting. Far too many times TAG villains 3b PF and show up with QQ-AA...

If you flat, pot is $180 and we have $120 left. We can never fold here, so if he shows up with AA, nh him. And we beat QQ and KK.

Not impossible, but unlikely because we hold a blocker. He is basically c/f'ing all turns with QQ-KK because of texture (unless a Q or K hits), because we raised and called a 3bet, and because ldo He puts us on AK. Turn cards suck and he is showing interest. More than likely it's a AK v AK/AQ/AJ/AT hand and we just go with it. TAG-ish players don't have too many double barrel bluffs on board textures like this OOP. Gonna level ourselves on turn cards before we level him into bluffing into us with something like QQ.

Since OP is holding an A it makes it less likely that villain has both of the other ones. Lots of people will check flop when hitting a set of aces too.

You said earlier raise all day, but isn't this a reason to flat? If we flat, he'll have a shove/shutdown decision to make ott and often times pride gets in the way and we get QQ KK to shove. But if we raise the flop it's a lot easier to him to get away from it.

The majority of his range isn't QQ and KK, but Ace-face. QQ and KK aren't shoving if we flat, unless he's horribad. Flatting is super strong, and he prob knows he's never getting any ace to fold here. KK and QQ are done, no ace is ever floding. He just has to hope his kicker is good, which it is if it's the case A or a T.

One thing I'm not worried about - The argument that we're going to level ourselves can be resolved by committing to put money in on any turn. I'm not planning on folding this at any point once we've got a $180 pot with $120 left to bet and TPTK.
He probably "knows" I don't have AA or KK based on the fact that those are almost always 4betted in this game.

What about him getting scared on straight and flush cards? Maybe he only has AJ here and no longer likes it when the Q or a heart hits. I'd rather not fool around and do all this let's call so that he continues his bluffs. If he is TAG or w/e he is done OTT way more often than not with his bluffs. He has shown interest though and we really like our hand. The only thing we are worried about is AT, and I am not so sure that AT is in his OOP 3bet range. AJs is probably the bottom. I can see AQ and AK showing up here more often than not.

If a Q,J,or heart hit and he continues to fire we hate life. As much as we say we are making a commitment OTF I think his range gets super narrow when a few cards hit and to totally ignore that is probably wrong. Given his position and his TAG-ish ways he should be playing a SF game right here. If he is going to level anywhere with QQ-KK it's going to be OTF because he can put SD's and FD's in your range. Even then, more than likely not. I guess what I am saying is either this is a cooler hand AK v Ax or it isnt and you are more than likely not getting any more streets out of him if he is bluffing OTF. There are many bad cards OTT that kill action for both players (even if you did promise yourself to commit). I think putting it in now is the "safest" most effective way to play for stacks.