NL5 rush KK deep preflop play

[babyonboard]

$0.02/$0.05 No Limit Holdem
FullTiltPoker (http://weaktight.com/ftp/)
6 Players
Hand Conversion Powered by weaktight.com (http://weaktight.com/)

Stacks:
UTG JimenezLeon12 ($2.60)
UTG+1 Anakiir ($9.09)
CO jtmorgan ($43.16)
BTN fearthishere ($7.23)
SB mauriciojmf ($9.02)
BB Hero ($12.81)

Pre-Flop: ($0.07, 6 players) Hero is BB :Kc: :Kd:
JimenezLeon12 raises to $0.15, 1 fold, jtmorgan raises to $0.52, fearthishere calls $0.52, 1 fold, Hero ??

So guys the question is how would you play such a strong hand as KK versus a player who seems to be good and effective stacks are more than 250bbs?

stats:
JimenezLeon12 10/5 AF:5.0 (157 hand)
jtmorgan 14/11 AF:2.0 (96 hand)
fearthishere 75/25 (4 hand)

thank you for responses!

[castor11]

I think this is call. CO is a nit and he 5bet range only AA. Call and see the flop.

[Holdenper]

I would 4bet to 1,15, and if Jimenez shove, and jtmorgan fold, instacall...If jtmorgan 6bet jam, than I would fold (i won't think that he would do that with AK, QQ)

[castor11]

I dont like the 4bet/fold with KK...:S

[Lev729]

I think, there are good options the call and the 4bet, too.
If we 4bet and he reraises --> we have to fold.
If we 4bet and he calls --> Probably we have to bet/fold all street (no A on board of course).

[Holdenper]

I dont like the 4bet/fold with KK...:S

Yeah, me neither, but he's nitty as hell, so if he 5/6bet jam it could mean only AA imho.
My problem with the call is, that we have no clue where are we standing (like board run out J high, so what? We call down? Or fold OTT? OTR? Maybe he's choose bet-bet-bet line with QQ, AJ, TT something like that, and we'll fold). I'm not a fan of info raises, but its's a clear situation imo, if he 5/6bet shove it's like 90% AA, and maybe 10% AK/QQ

[tusi0114]

I would not fold anyway...shove and be happy, in the worst case i have my 20%.