50$ NL 5-max, AA with tricky flop

[Roy Batty]

I have 67.50$ villain covers me. I'm on SB with , two limpers ahead of me I make it 2.50$ now very loose calling station flat calls on BB and another caller from UTG+1.

FLOP (pot 8$):

I bet out 5.50$ villain on BB pushes me allin , UTG+1 folds and I call.

Turn (pot 135$):

River (pot 135$):

I know that I should fold if I was against a set, but I was pretty confident that he doesn't have a set, but maybe some kind of draw with because otherwise he was very passive and was slowplaying monsters. But anyway i should probably fold most of the time. but against this player i was scared only to see [Tc] which I strongly believed he would not play this powerful on the flop.

I would like some thoughts about your reads in relation with mathematical conclusions on such hands. When you're very confident that you know how a certain player plays a hand but on the other hand against most other players you will be far behind.

[iceman5]

[Xaston]

[black_knight6]

[Yenool]

If I am in the SB out of position on the flop vs 2 limpers and a calling station being one of them, I want to make it a minimum of $3 preflop.

On the flop I think I would make one of those calls where you cross your fingers slightly as the turn and river get dealt.

If you have a read saying he wouldn't play a made flush this way then that is perfect, because you are actually a small favorite against a flopped two pair with QJ and you are 35% against a set of 7's.... you are absolutely crushing (84%+) a hand like Qx / Jx

so I call on the flop.