Facing a turn push against unknown w/ KK overpair 400NL/ 5 Handed

[Moemar]

Hero is K[img]/images/graemlins/heart.gif[/img] K[img]/images/graemlins/club.gif[/img]

No read on villain. Was the flop too weak? What now on the turn?

$2/$4 No Limit Holdem
5 players
Converted at weaktight.com

Stacks:
Hero (<font color="#0000cc">$720.90</font>)
CO (<font color="#0000cc">$387.20</font>)
BTN (<font color="#0000cc">$101.50</font>)
SB (<font color="#0000cc">$302.25</font>)
BB (<font color="#0000cc">$485.00</font>)

Pre-flop: ($6, 5 players)
<font color="#cc0000">Hero bets $14</font>, <font color="#777777">1 fold</font>, BTN calls $14, SB calls $12, <font color="#777777">1 fold</font>

Flop: 8[img]/images/graemlins/spade.gif[/img] Q[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/heart.gif[/img] ($46, 3 players)
SB checks, <font color="#cc0000">Hero bets $34</font>, <font color="#777777">1 fold</font>, <font color="#cc0000">SB bets $88</font>, Hero calls $54.

Turn: 4[img]/images/graemlins/diamond.gif[/img] ($222, 2 players)
<font color="#cc0000">SB goes all-in $200.25</font>, Hero...?