25NL - KK on river

[dodgybob]

No usable reads on villain. Whats my line here? He's big stacked, which doesn't necessarily mean anything I suppose, but that turn check seems kinda dodgy to me.

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Button ($17.55)
Hero ($24.75)
BB ($11.65)
UTG ($15.95)
MP ($61.40)

Preflop: Hero is SB with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, MP calls $0.25, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $1</font>, <font color="#666666">1 fold</font>, MP calls $0.75.

Flop: ($2.25) Q[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $1</font>, <font color="#CC3333">MP raises to $2.25</font>, Hero calls $1.25.

Turn: ($6.75) Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, MP checks.

River: ($6.75) 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero ?