AAxx flops nut flush draw kind of deep, I need a plan

[Grandezza]

Villain is running at 46/11/1.3 over 80 hands. his aggression on the three streets is 2.7/0.6/0. My note on him says that he bets busted draws.

Poker Stars
Pot Limit Omaha Ring game
Blinds: $0.50/$1
4 players
Converter

Stack sizes:
UTG: $232.85
Button: $128.65
Hero: $177.60
BB: $30.90

Pre-flop: (4 players) Hero is SB with A[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/club.gif[/img]
UTG calls, Button folds, <font color="#cc0000">Hero raises to $4</font>, BB calls, UTG calls.

Flop: 7[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/diamond.gif[/img] ($12, 3 players)
<font color="#cc0000">Hero bets $10</font>, BB folds, <font color="#cc0000">UTG raises to $35</font>