Determining the perfect raisesize

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Determining the perfect raisesize

Blinds: $0.02/$0.05 (9 Players) BN: $4.87
SB: $7.88
BB: $5.20
UTG: $5.02
UTG+1: $5.00
MP: $12.88
MP+1: $4.00
MP+2: $5.99
CO: $5.07 (Hero)
Preflop ($0.07) Hero is CO with T 8
5 folds, Hero raises to $0.13, BN folds, SB calls $0.11, BB folds
Flop ($0.31) A T 9
SB checks, Hero bets $0.20, SB calls $0.20
Turn ($0.71) A T 9 K
SB bets $0.35, Hero calls $0.35
River ($1.41) A T 9 K 5
SB bets $0.65, Hero raises to $2.58

Hi so to me it's pretty obvious villain has twopair on river or straight.
But I have no idea how much he is paying me...
do you have any advice for raisesize??

People don't believe backdoorflushdraw so I went bigger than usual...
advice appreciated

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