5/10 QQ in 4 bet pot

[Praetor]

Prima Network No-Limit Hold'em, $10.00 BB (6 handed) Hand History converter Courtesy of PokerZion.com

MP ($1011.52)
CO ($993.50)
Hero ($1285.50)
SB ($1237.50)
BB ($3216.24)
UTG ($1207.00)

Preflop: Hero is Button with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">UTG raises to $35</font>, MP calls $35, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $135</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">UTG raises to $295</font>, MP folds, Hero calls $160.

Flop: ($640) 6[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">UTG bets $240</font>, Hero calls $240.

Turn: ($1120) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">UTG bets $300</font>, [


Villain is 23/18/3 over 2k hands, datamined though so no reads.

Fold the turn? What if he shoved? What if I had kk?