KK against some heavy fire

[morberg]

Party Poker 0.5/1 Hold'em (9 handed) converter

Preflop: Hero is UTG+1 with K[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">MP2 3-bets</font>, <font color="#666666">2 folds</font>, Button calls, SB calls, <font color="#CC3333">BB caps</font>, Hero calls, MP2 calls, Button calls, SB calls.

Flop: (20 SB) 9[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/heart.gif[/img], 9[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">MP2 3-bets</font>, Button calls, SB calls, <font color="#CC3333">BB caps</font>, Hero calls, MP2 calls, Button calls, SB calls.

Turn: (20 BB) A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, Hero calls, MP2 folds, Button folds, <font color="#CC3333">SB raises</font>, <font color="#CC3333">BB 3-bets</font>, Hero calls, SB calls.

River: (29 BB) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, Hero calls, SB calls.

Final Pot: 32 BB

The betting in this hand was insane. When the pot grows this large it is difficult to lay down your hand. How would you have played it?