Crazy spot on the turn - 44

[n4rf]

Full Tilt No-Limit Hold'em, $0.10 BB (6 handed) Full Tilt Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

CO ($10)
Hero ($9.70)
SB ($15.60)
BB ($5.40)
UTG ($1.95)
MP ($18.25)

Preflop: Hero is Button with 4[img]/images/graemlins/heart.gif[/img], 4[img]/images/graemlins/spade.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">MP raises to $0.35</font>, Hero calls $0.35, <font color="#666666">2 folds</font>.

Flop: ($0.85) 2[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">MP bets $0.6</font>, Hero calls $0.60.

Turn: ($2.05) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
MP checks, <font color="#CC3333">Hero bets $1.4</font>, <font color="#CC3333">MP raises to $4</font>, Hero?


I wanted to ask for your guys' input on this hand.
Villain is 18/16/3 over 140 hands. He seems like a 2p2, at least not a fish.

Now what would you do in my spot holding the 4's?
Would you have checked the turn as well and maybe have the hand get to showdown as it may be good there?