Stealing with AA

I 3 bet this flop.

It may be worthwhile to give thought to the fact that the BB may have a jack, sees this an obvious oppurtunity to C/r you and takes advantage of it on the flop. This is why I 3-bet this flop. Say he caps it, and then leads the turn when another J hits, you can probably fold knowing your beat to either a FH or 3 J's.

However, the way the hand played out, Im not sure what I would do. Im thinking call down.