TP + FD OOP facing turn raise from TAG. Shove?

[Pharcyde]

Villain is 13/8/2.13 over 80ish hands. I've been splashing around in some pots, mostly in position though. My numbers are 20.8/11.3/2.18 for 115 hands.

Poker Stars - No Limit Hold'em Cash Game - $0.05/$0.10 Blinds - 6 Players - (LegoPoker HH Converter)

Hero (SB): $21.55
BB: $10.95
UTG: $32.95
MP: $8.10
CO: $17.50
BTN: $3.80

Preflop: Hero is dealt J[img]/images/graemlins/spade.gif[/img] Q[img]/images/graemlins/spade.gif[/img] (6 Players)
4 folds, <font color="red">Hero raises to $0.30</font>, BB calls $0.20
Uncalled bet of $0.00 returned to BB

Flop: ($0.60) 5[img]/images/graemlins/spade.gif[/img] T[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">Hero bets $0.40</font>, BB calls $0.40

I'm thinking this villain would've re-raised me on the flop with a set to charge possible draws. Only likely two-pair hands on flop for him might be 56 of clubs or diamonds.

Turn: ($1.40) J[img]/images/graemlins/diamond.gif[/img] (2 Players)
<font color="red">Hero bets $0.80</font>, <font color="red">BB raises to $2.50</font>, <font color="red">Hero </font>???

Villain could be re-raising with TPGK here, and he might've been holding jt for two-pair now. Slowplayed set is possible here, but I'm guessing unlikely. I have ~10(?) outs against the range I've put him on and maybe some decent fold equity against a villain this tight. Is shoving +EV here?