When to let off with AK?

[og5]

This is one of those situations where I hate pot odds. I went to the river because the odds were there. I couldn't put CO on a hand because he just sat down, I was hoping he was calling down overcards like I was. Should I have just folded the flop, turn, river?

Party Poker 1/2 Hold'em (10 handed) converter

Preflop: Hero is UTG+1 with A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/spade.gif[/img]. CO posts a blind of $1.
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 fold</font>, MP1 calls, <font color="#666666">2 folds</font>, <font color="#CC3333">CO (poster) 3-bets</font>, <font color="#666666">3 folds</font>, <font color="#CC3333">Hero caps</font>, MP1 calls, CO calls.

Flop: (13.50 SB) 7[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets</font>, MP1 calls, <font color="#CC3333">CO raises</font>, Hero calls, MP1 calls.

Turn: (9.75 BB) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, MP1 checks, <font color="#CC3333">CO bets</font>, Hero calls, MP1 calls.

River: (12.75 BB) 7[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, MP1 checks, <font color="#CC3333">CO bets</font>, Hero calls, MP1 folds.

Final Pot: 14.75 BB