JJ overpair on soaking flop

[Everlong]

Had a session at NL100 today cause NL50 was Sahara. This was the one single interesting hand that stuck.

Button is a prominent MTT:er but he has A. cold-called me pre-flop a bunch of times and not really done anything with it and B. stats indicating he plays a boatload of hands from the button. sb is your run of the mill fish.

What's your turn move and why?

PokerStars No-Limit Hold'em, $1.00 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($100.85)
Hero ($153.15)
MP ($98.50)
CO ($132.95)
Button ($142.90)
SB ($49.50)

Preflop: Hero is UTG with J[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises to $4</font>, <font color="#666666">2 folds</font>, Button calls $4, SB calls $3.50, BB calls $3.

Flop: ($16) 6[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/heart.gif[/img], T[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets $12</font>, Button calls $12, SB calls $12, BB folds.

Turn: ($52) 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">SB bets $33.5 (All-In)</font>, Hero ?