Top set river bet size decision vs fish

The strongest hand I'd fold here would be J9. Top two+ I'd never fold.

Bet some normal size 3/4 or so.

always jam value against fish, don’t complicate things

Thank you for good feedback guys!

I ended up betting little less than a pot. I think I should have gone all in! I was surprised villain had KK. Villain would have definitely called my jam

SB: $10 (100 bb)
BB: $19.23 (192.3 bb)
Hero (UTG): $14.73 (147.3 bb)
MP: $4.61 (46.1 bb)
CO: $12.18 (121.8 bb)
BTN: $10.56 (105.6 bb)

Preflop: Hero is UTG with J

J

Hero raises to $0.25, 2 folds, BTN calls $0.25, SB folds, BB calls $0.15

Flop: ($0.80) 9

J

3

(3 players)
BB checks, Hero bets $0.55, BTN calls $0.55, BB folds

Turn: ($1.90) T

(2 players)
Hero bets $1.40, BTN calls $1.40

River: ($4.70) 4

(2 players)
Hero bets $4, BTN calls $4

Results: $12.70 pot ($0.64 rake)
Final Board: 9

J

3

T

4

Hero showed J

J

and won $12.06 ($5.86 net)
BTN mucked K

K

and lost (-$6.20 net)