NL20 AK on KK5 board with a lot of preflop action

[Advent]

Hi. How would you play this hand? No stats on villians. Im not sure about check or bet flop. Would i really bet etc AA on this board with this action? Wich line would you choose?

I want to play a big pot, but its hard except for if someone got KQs or something like that. I did not raise turn beacuse that would scream strenght. Help me out! What amount would you raise on river?

Party Poker
No Limit Holdem Ring game
Blinds: $0.1/$0.2
5 players
Converter

Stack sizes:
UTG: $40
CO: $19
HERO: $20
SB: $25
BB: $32

Pre-flop: (5 players) HERO is Button with A[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/diamond.gif[/img]
<font color="#cc0000">UTG raises to $0.8</font>, CO folds, <font color="#cc0000">HERO raises to $2.2</font>, SB calls, BB folds, UTG calls.

Flop: 6[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/heart.gif[/img] K[img]/images/graemlins/club.gif[/img] ($6.8, 3 players)
SB checks, UTG checks, HERO checks.

Turn: 5[img]/images/graemlins/spade.gif[/img] ($6.8, 3 players)
<font color="#cc0000">SB bets $0.8</font>, UTG calls, HERO calls.

River: 4[img]/images/graemlins/club.gif[/img] ($9.2, 3 players)
<font color="#cc0000">SB bets $0.8</font>, <font color="#cc0000">UTG raises to $2.6</font>, <font color="#cc0000">HERO ?</font>


Results:
Final pot: $