PS $11 - Flopped set, how big value bet on river?

PokerStars No-Limit Hold'em Tourney, Big Blind is t30 (9 handed) FTR converter on zerodivide.cx

saw flop|<font color="#C00000">saw showdown</font>

UTG+1 (t1360)
MP1 (t2245)
MP2 (t950)
<font color="#C00000">Hero (t1720)</font>
CO (t1140)
Button (t1645)
SB (t1440)
<font color="#C00000">BB (t1440)</font>
UTG (t1560)

Preflop: Hero is MP3 with 3[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">2 folds</font>, MP1 calls t30, <font color="#666666">1 fold</font>, Hero calls t30, <font color="#666666">2 folds</font>, SB completes, BB checks.

Flop: (t120) 3[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">SB bets t80</font>, <font color="#CC3333">BB raises to t160</font>, MP1 folds, Hero calls t160, SB calls t80.

Turn: (t600) Q[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets t420</font>, SB folds, BB calls t420.

River: (t1440) 4[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets t420</font>

Thoughts on the size of the river bet? I didn't think he was terribly strong, but should I have just pushed? Worried about straight on river?

Thanks as always in advance. You guys have really helped me a ton.

every st looks good, but i'm clueless

no way he has straight

I'm with you that I'm probably good, but an area of my game that I've been focusing on recently is my river play, specifically trying to find that perfectly sized value bet to maximize what villain will call with.

Basically, the core question here is this... At the river villain had ~800 left. Should I have just pushed?

[tigerite]

That turn bet seems a bit big to me. I might make it more like 1/2 the pot. Then you are more likely to garner a call on the river for about t300 I reckon. Gets you maybe t100 more chips. Probably all you're getting though.