22 on Button

[LowDown22]

All players involved are fairly loose passive.

Paradise Poker 1/2 Hold'em (10 handed) converter

Preflop: Hero is Button with 2[img]/images/graemlins/diamond.gif[/img], 2[img]/images/graemlins/spade.gif[/img].
<font color="#666666">4 folds</font>, MP2 calls, MP3 calls, <font color="#666666">1 fold</font>, Hero calls, SB completes, BB checks.

Flop: (5 SB) 3[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, BB checks, MP2 checks, MP3 checks, <font color="#CC3333">Hero bets</font>, SB folds, BB calls, MP2 calls, MP3 folds.

Turn: (4 BB) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, MP2 checks, <font color="#CC3333">Hero bets</font>, BB calls, MP2 calls.

River: (7 BB) 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, MP2 checks, <font color="#CC3333">Hero bets</font>, BB folds, MP2 calls.

Final Pot: 9 BB

Normally with low pairs I expect to fold the flop if I don't get my set. In this case, however, I'm on the button and a low card flop is checked to me. I figured it was worth a bet. Turn yielded another low card so I bet again, planning on checking the river through if there were any callers. Then the river kills my hand and it's checked to me so the only way I can win is by betting now. Should I have played differently?