25NL KK on paired board - I donk it up.

[Sounded Simple]

PokerStars No-Limit Hold'em, $0.25 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

SB ($33.30)
BB ($14.45)
UTG ($65.80)
Hero ($24.65)
MP1 ($6.25)
MP2 ($13.10)
MP3 ($15)
CO ($25.25)
Button ($4.90)

Preflop: Hero is UTG+1 with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $1</font>, MP1 calls $1, <font color="#666666">2 folds</font>, CO calls $1, <font color="#666666">2 folds</font>, BB calls $0.75.

Flop: ($4.20) 2[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, <font color="#CC3333">Hero bets $5.25</font>, MP1 folds, CO calls $5.25, BB folds.

Turn: ($14.70) T[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $7.75</font>, CO calls $7.75.

River: ($30.20) 4[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero......? </font>


Preflop -
Standard raise gets four callers. Not what I want but meh.

Flop
I meant to bet the pot here but I use a betpot script and it does this on occasion.
In any case my thinking was to thin the field, charge a flush draw and get value from JJ,QQ and a T.

Turn -
I think I got this all wrong but Im not sure of the best line.
Im only beating JJ, QQ and a flush draw. Against AA or a T Im drawing to two outs.
I have been fairly tight on this table so the villan has no reason to think im FOS.

River
I have managed to build a big pot with an overpair, now what?
Shove?
Check/Call?
Check/Fold?

Edit - Sorry forgot read,
Villan was 22/10/1.3 over 190 hands.