Flopped nuts. made mistake on river

[cs3]

(converter not working so I had to improvise)

Button $33
SB $14
BB Hero $40

Party Poker (6 max, 4 handed) converter

Preflop: Hero is BB with 8[img]/images/graemlins/diamond.gif[/img], 8[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>.
button limps, SB completes, Hero raise to .50,butoon calls .5, SB raises to 1.75, Hero calls, BB calls

(Pot $7)Flop: 8[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
.
SB bets 1, Hero calls, Button calls

(pot $10) Turn: 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
.
SB bets 1, hero calss, BB calls

(pot 13) River: K[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB bets 3, Hero raises 30, BB folds, SB calls $7 (all-in)
Final Pot:

Results in white below: <font color="#FFFFFF">
SB has Kd Ah (two pair, kings and eights).
Hero has 8d 8c (four of a kind, eights).
Button has (four of a kind, eights).
Outcome: </font>

As soon as I bet $30 on the river I realized what a stupid bet that was. I shouldve raised just slighlty less than putting the shortsatcked SB all in, so about $6. Here's why:

SB was already comitted to the pot. He ws calling any bet, and would have to go all in here for $1 more on top of my raise. However, the smaller bet would be likely to entice a call from the Button as well, and when the SB raises it another $1 to go all in the betting is reopened. THEN shouldve put BB all in as well. He would be more likely to call now, and even if he folds I still make the extra $6.
(btw, after the hand BB said he folded a flsuh)
Now if I can just flop quads again...