Any Other Way to Play This?

[Utah]

3/6 Pokerstars

me: $600
Villian: has me covered

9[img]/images/graemlins/spade.gif[/img]9[img]/images/graemlins/club.gif[/img] in the cutoff

folded to me and I make it $21

BB Calls

Flop is:

A[img]/images/graemlins/heart.gif[/img] J[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/club.gif[/img]

he checks and I bet $40. I am hoping to catch him with an A. He calls, which of course I like.

turn is a 2 [img]/images/graemlins/heart.gif[/img]

He checks. I lead pot again with $120. He reraises me $360.

I can only really put him on A,J, A,x, or some kind of draw. A,A and J,J seem remote given that this is likely a blind steal type battle.

I push in. He flips over J,J.

I cant think of any other way to play this hand. Any thoughts. Also, do you like his J,J flop call? I reraise here every time in the BB with J,J.