(2/4) KK deep - go broke with 1 pair?

[Paul B.]

Villain is like a 85/15 and very bad. He plays too many hands preflop but seems to understand the concept of position. He min-3bets often on the button (saw him do it once with K8s) and knows how to build pots in position. Out of position he seems fairly passive but seems to fold often / does not make big call downs.

Full Tilt Poker, $2/$4 NL Hold'em Cash Game, 6 Players
LegoPoker Hand History Converter

SB: $978.30
BB: $471
UTG: $398
MP: $1,588.80
CO: $3,346.15
Hero (BTN): $1,702.30

Pre-Flop: K[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/spade.gif[/img] dealt to Hero (BTN)
2 folds, CO calls $4, <font color="red">Hero raises to $24</font>, 2 folds, <font color="red">CO raises to $44</font>, <font color="red">Hero raises to $200</font>, CO calls $156

Flop: ($406) 8[img]/images/graemlins/diamond.gif[/img] 3[img]/images/graemlins/heart.gif[/img] 2[img]/images/graemlins/club.gif[/img] (2 Players)
<font color="red">CO bets $200</font>, Hero calls $200

Turn: ($806) T[img]/images/graemlins/spade.gif[/img] (2 Players)
CO checks, <font color="red">Hero bets $600 and calls a shove?</font>

Flop I just called because I put him on garbage and being this deep, I also don't think I get paid off in the small chance he does have 99-QQ. What do you guys think of my turn bet sizing? (I have ~700 left)