KK Deep on cordinated/draw heavy board

[DOTTT]

PokerStars No-Limit Hold'em, $20 BB (7 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($325)
UTG ($565)
MP1 ($1515.50)
Hero ($3005.50)
CO ($4948.50)
Button ($1970)
SB ($4003.50)

Preflop: Hero is MP2 with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to $60</font>, <font color="#666666">2 folds</font>, SB calls $50, <font color="#666666">1 fold</font>.

Flop: ($140) 8[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, <font color="#CC3333">Hero bets $100</font>, <font color="#CC3333">SB raises to $200</font>, Hero?

Villain is a donk who loves to mini raise, he can be doing it with any pair, any draw, or any set. My read at the time was that I have him beat and that he's on some kind of draw, but stack sizes make this hand a bit tricky to play against him.

At the time I was thinking of popping it to $1000 and folding to a push? Ideas?