How do I avoid the overbet shove here?

[HelixTrix]

Villain has a wide raising range, and I was seriously considering cring the flop with my overcards and 2 backdoor draws. The turn card gives me a real problem though after he checks behind.

PokerStars No-Limit Hold'em Tourney, Blinds 100/200/10 (9 handed)

CO (t2900)
Button (t3670)
SB (t5115)
Hero (t6664)
UTG (t5150)
UTG+1 (t5269)
MP1 (t3520)
MP2 (Villain) (t3213)
MP3 (t7290)

Preflop: Hero is BB with K[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/heart.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">(Villain) raises to t550</font>, <font color="#666666">4 folds</font>, Hero calls t350.

Flop: (t980) 2[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, Villain checks.

Turn: (t980) 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero ?</font> (Villain has 2xpot left)