Marginal call down vs. Agressive Villian?

[NIX]

Reads: Villian is 56/31/1.9 after 32 hands. I've seen him 3bet really light preflop (KJ, K9s), but be a little more cautious OOP than when he has position. Postflop, he's been erratic. He has been agro with strong made hands, underpairs, and I've seen him cap the turn and then fold for 1 on the river (although with the board/action in the hand, there is no way he folded the winning hand and most likely was bluffing/semi-bluffing). He tends to get more agro on the big bet streets than the flop.

PokerStars 1/2 Hold'em (7 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is CO with A[img]/images/graemlins/spade.gif[/img], 4[img]/images/graemlins/spade.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">Button 3-bets</font>, <font color="#666666">2 folds</font>, Hero calls.

Flop: (7.50 SB) 2[img]/images/graemlins/heart.gif[/img], T[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, Button checks.

Turn: (3.75 BB) 8[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets</font>, <font color="#CC3333">Button raises</font>, Hero ???

Is this hand worth continuing, and if so, how far do you go?