River with a set facing aggression, best play?

Posted 8 years, 8 months ago

Blinds: $0.05/$0.10 (4 Players) CO: $10.86
BN: $14.50 (Hero)
SB: $12.22
BB: $20.92

Preflop ($0.15) Hero is BN with 8 8

CO folds, Hero raises to $0.40, SB calls $0.25, BB calls $0.20

Flop ($1.00) 4 9 5

SB checks, BB checks, Hero bets $0.45, SB calls $0.45, BB folds

Turn ($1.90) 4 9 5 8

SB bets $1.10, Hero calls $1.10

River ($4.10) 4 9 5 8 K

SB bets $2.00, Hero raises to $12.65, SB calls $8.37 and is all in

Is raising here going to be too thin most of the time? What range do you put villain on with his line? No reads.