99 with board Overcards

[22pajo]

Limit: $0.50/$1
9 players

Villain is unknown.

Pre-flop: (9 players) Hero is SB with 9[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/spade.gif[/img]
2 folds, MP1 calls, 3 folds, Button calls, <font color="#cc0000">Hero raises</font>, BB folds, MP1 calls, Button calls.

Flop: A[img]/images/graemlins/heart.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/club.gif[/img] (5.5SB, 3 players)
<font color="#cc0000">Hero bets</font>, MP1 folds, Button calls.

<font color="blue">If villain holds A rag i'm a huge dog post flop. I know its frowned upon here but i bet to "find out where i'm at". Can anyone explain a better strategy here? </font>

Turn: J[img]/images/graemlins/heart.gif[/img] (3.75BB, 2 players)
<font color="#cc0000">Hero bets</font>, Button calls.

<font color="blue">No flop re raise and one villain out of the way.
Continue betting or try get to showdown as cheaply as possible? </font>

River: T[img]/images/graemlins/heart.gif[/img] (5.75BB, 2 players)
Hero ??