Triple Outdraw Hand

[ElSapo]

By my count, the lead on this hand changed places three times. Bummer, since I was odd-man out, so to speak.
Anyways, I just want to know if anyone plays this dramatically different. Maybe I overplayed it, but...

I get JJ in MP. Folded to me, I raise. Only the blinds (both) call.

Flop comes a most-predictable AdTc6s.

SB checks and BB bets. I've been folding here, but lately I feel like people are betting out when an ace flops just to take a shot. And maybe a raise will fold a weak ace.
No, I'm not sure I believe that a weak ace will fold -- not here (Party 2/4). None the less, I raise. Both blinds call.

Turn is a sweet Js. SB checks again, BB bets, I raise. Now SB springs to life and three-bets. BB calls two and I cap it.

Turn is the 3s. SB bets, BB folds, I raise, SB three-bets and I start to suspect AA. I call. Actually, I
began to suspect AA on the turn, but...

I call. He takes it down with the nut flush, AsTs. Flopped two pair, turned the flush draw on my Js and got there on the river.

Large, large, oh so large pot. I go 45 degrees off for three hands until I catch myself and quit.

Did I overplay this? Fold the flop? Anyone not cap the turn? Just call the river?

Blah blah blah, I outdrew him, he outdrew me, what am I griping about...