KK hits set on the river, tough spot

[inferno]

50/100 game at WPEX, all the players are pretty much fish
than this hand comes up

I get K[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/spade.gif[/img] in the SB
UTG raises, MP reraises, CO folds, I cap, BB calls the cap cold and UTG + MP call also

4way flop: 2[img]/images/graemlins/diamond.gif[/img] 5[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/club.gif[/img]
I lead out, BB calls, UTG raises and MP reraises
At this point I dont feel comfertable about my hand and choose just to call the bet to see what BB and UTG will do.
so I call, BB folds and UTG calls also

3way turn: 7[img]/images/graemlins/club.gif[/img]
check, check, bet, call, call

3way river: K[img]/images/graemlins/club.gif[/img]
Now my K comes and I really think that MP has AA, also without the K on the river I felt like I was behind so the best option would be to go for the c/r here right?
I check..