NL100 Flopped set, turn fills a lot of draws

[Sober]

PokerStars No-Limit Hold'em, $1.00 BB (5 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($98.10)
UTG ($16.20)
MP ($51.45)
Button ($58.50)
Hero ($116.40)

Preflop: Hero is SB with 6[img]/images/graemlins/diamond.gif[/img], 6[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, Button calls $1, Hero completes, BB checks.

Flop: ($3) 6[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/spade.gif[/img], 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets $2</font>, BB folds, Button calls $2.

Turn: ($7) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, Button checks.

River: ($7) 2[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $5</font>, Button calls $5.

Final Pot: $17

I completed because I'd been really active in the last orbit, and BB didn't raise limpers much.

Villain is a standard calling station.

Comments on whether to bet the turn or check for pot control, as well as comments on river bet size?