KK vs. AA 20/40

[T. Poker]

How many bets would you lose in this situation? I'm in cut-off with KK one limper to me. I raise button, (not loose/not tight *may 3-bet AQ suited or any mid PP to run me over) 3-bets and I call.

Flop 2 [img]/images/graemlins/diamond.gif[/img]3 [img]/images/graemlins/heart.gif[/img]6 [img]/images/graemlins/club.gif[/img]

I bet, he raises, I three bet, he caps

Turn 3 [img]/images/graemlins/club.gif[/img] I bet, he raises, I three bet, he calls.

River 9 [img]/images/graemlins/spade.gif[/img] I bet, he raises I call.

Any way to lose less? Or did I play it OK and extract the most if he has QQ-JJ-1010