66 overpair with a OESD against BB

[infinity235]

Party Poker
Limit Holdem Ring game
Limit: $0.05/$0.1
9 players
Converter

Pre-flop: (9 players) Hero is MP2 with 6[img]/images/graemlins/club.gif[/img] 6[img]/images/graemlins/spade.gif[/img]
2 folds, MP1 calls, Hero calls, 2 folds, Button calls, SB calls, BB checks.

Flop: 5[img]/images/graemlins/diamond.gif[/img] 3[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/club.gif[/img] (5SB, 5 players)
SB checks, <font color="#cc0000">BB bets</font>, MP1 folds, <font color="#cc0000">Hero raises</font>, 2 folds, BB calls.

Turn: Q[img]/images/graemlins/spade.gif[/img] (4.5BB, 2 players)
<font color="#cc0000">BB bets</font>, Hero ???

Villan is pretty selective about his hands, but it doesn't matter here b/c he took a free play from the blinds. From the last 3 orbits I could see that he was pretty solid postflop, not overplaying hands, but calling his draws when the odds were right. My question is: What hands can I put him on? He could have played anything there... but he bets into 4 people here on the flop and then bets into the raiser on the turn...