30 NL - 6max - Deep AKs, value push?

[Ryba]

I'm playing I'm playing 24/17/2, villain is a lag 32/20/2. Push this river or check/call check/fold? My thinking was he should be raises all sets on the flop and betting a flush on turn since the pot is so big now. So I don't think he has that good of a hand maybe a J or a medium pair. I dunno if he calls a push with them thou.

Full Tilt Poker, $0.15/$0.30 NL Hold'em Cash Game, 5 Players
LeggoPoker.com - Hand History Converter

BB: $71.40
UTG: $126.85
CO: $81
BTN: $64.40
Hero (SB): $72.85

Pre-Flop: K[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/diamond.gif[/img] dealt to Hero (SB)
3 folds, <font color="red">Hero raises to $1</font>, <font color="red">BB raises to $3</font>, <font color="red">Hero raises to $12.90</font>, BB calls $9.90

Flop: ($25.80) 7[img]/images/graemlins/spade.gif[/img] J[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/club.gif[/img] (2 Players)
<font color="red">Hero bets $16.80</font>, BB calls $16.80

Turn: ($59.40) 6[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero checks, BB checks

River: ($59.40) K[img]/images/graemlins/heart.gif[/img] (2 Players)
Hero ?