25NL: KK line check,; bet correct or should have checked?

[leatangclan]

Villan is 37.3/18.7/.9 over 75 hands. I have not played with her much.

Full Tilt Poker - No Limit Hold'em Cash Game - $0.10/$0.25 Blinds - 9 Players - (LegoPoker Hand History Converter)

SB: $9.50
BB: $25.40
Hero (UTG): $32.00
UTG+1: $26.15
MP1: $24.65
MP2: $25.85
MP3: $22.05
CO: $5.40
BTN: $23.50

Preflop: Hero is dealt K[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/spade.gif[/img] (9 Players)
<font color="red">Hero raises to $1.00</font>, 2 folds, MP2 calls $1.00, <font color="red">MP3 raises to $3.00</font>, 4 folds, <font color="red">Hero raises to $5.00</font>, MP2 folds, MP3 calls $2.00

<font color="blue">With villan's 3 bet rr, I figured I had better find out if her has AA. At that point I put her on QQ+. I planned on folding if she comes back over the top or pushes. The good news was she only called, the bad news was she still can have AA. At least I get to see the flop. </font>

Flop: ($11.35) 2[img]/images/graemlins/spade.gif[/img] 8[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">Hero bets $6.00</font>, MP3 calls $6.00

<font color="blue">At first glance the flop looked bad. But then I thought would villan 3 bet me with AKs? I put her on two pairs more than anything else. So I figure I would put a probe bet and try to take control. </font>

Turn: ($23.35) 9[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">Hero bets $12.00</font>

<font color="blue">I made the bet so she would fold if she does not have a spade. Looking back, I really should have checked the whole way. Any comments on my flawed logic is greatly appreciated. </font>