KK overbet 2/4 NL

[Bigfoot]

This is for full ring 2/4 NL

One LP limper infront of me and I'm dealt K [img]/images/graemlins/spade.gif[/img]K [img]/images/graemlins/club.gif[/img] I raise to 16 in CO, folded to the BB who makes it 50. LP limper folds and I call.

Flop: 7 [img]/images/graemlins/spade.gif[/img]8 [img]/images/graemlins/club.gif[/img]9 [img]/images/graemlins/spade.gif[/img]

BB leads for 50 and I shove. I'm curious what people think about this line when I can narrow BBs re-raising range down to QQ+ and perhaps a small percentage of the time AKs/AKo and JJ. I was thinking that if I call and see the turn so many cards kill my action if he has JJ or QQ and with this flop I basically have to just hope he has one of those two and thinks I'm getting out of line with 1010, AK or some sort of draw. Also I was thinking that a raise other than all in would show too much strength and he could get away from anything other than AA/KK.