Help with this one?

Sorry I don't have the actual hand history from hand earlier this morning, but I think I can recreate the hand pretty accurately.

Playing $10NL and in the small blind, I'm dealt AQs (suits don't matter on this hand ultimately because none were possible on the board). Villain and I both have $10 stacks. Two MP limpers. Button raises to 5x BB. I call along with the limpers, so 4 to the flop.

Question 1: At this point I am guessing the limpers with medium to small pocket pairs or some sort of suited connectors, or possibly a suited ace. If very loose, they may be playing a raggy unsuited ace. I am also putting the button on a pp 77+ or AJ+. At this level, are these decent assumptions?

Flop is A76, which I like. I bet out about $1.50. One MP calls; the other 2 fold. I often c-bet, so I wouldn't doubt that villain puts me on missing the flop, even though there were 3 left to act. (Though I actually wouldn't probably c-bet in that situation.)

Question 2: Any new assumptions I should add about the caller? I see so many players at this level call with something like A4, so I felt pretty good. Still plenty of hands that are ahead though, and I ran the likely ones through my mind: A7, A6, 77, 66. But maybe something like 98s or 99...

Turn is another ace. I always get excited when I turn a set, and I wanted to see where I stood, so I bet out again, this time $4 into a pot of about $7. Villain raised all in, about $4.50 more.

Question 3: What to do? After investing this much, it's so tough to let it go. Yet the likely hand that beat me seemed to slightly outweigh the likely ones I could beat. If I were in villain's shoes and had a set, this is about how I would have played it, letting the other guy bet into me. Seems one street to late to push on an OESD. But also, if he has me beat right now I have outs by pairing the board. Is it smart to let this one go? Or is this one of those hands you just stack off on?

Result: He turns up 66 for the winning full house. The ace on the turn happened to be about the worst possible card for me in a way, making me overvalue my hand. If I had only TPGK I could have gotten away from a pot that large.

Any help you could offer would be appreciated.

You're probably ahead of button's positional raising range so 3-bet him pre. A lot of small pairs will fold and he'll let you know if he has you smoked. Then again, this is $10NL...

Don't be results orientated, this is a good spot to stack off imo at 10NL.
The board is drawy and there will be worse Aces to compensate for the times you actually get busted by a fullhouse.
As Warpe already said 3betting pf makes playing this hand alot easier.

i agree with the above posters, 3-betting pre makes it easier, and you cant fold the way the hand was played because hands like A-10 will likely play the same way villian did. also, note that your bet on the flop was not a continuation bet because you were not the preflop raiser.

Originally Posted by Warpe

You're probably ahead of button's positional raising range so 3-bet him pre. A lot of small pairs will fold and he'll let you know if he has you smoked. Then again, this is $10NL...

With multiple villains, what's your 3-bet range? AQs seems fine, but what about AJs, AQo, or KQs? And which pairs? TT? 99? And how do you size your 3-bet? I've been experimenting with preflops 3-bets at NL25. But I'm still learning. Any advice much appreciated.