NL Holdem $0.05(BB)
HJ ($4.43)
HERO ($4.94)
BTN ($4.63)
SB ($3.08)
BB ($5)
UTG ($5)

Dealt to Hero Ac Qh

UTG Folds, HJ Folds, HERO Raises To $0.15 (Rem. Stack: 4.79), BTN Calls $0.15 (Rem. Stack: 4.48), SB Folds, BB Calls $0.1 (Rem. Stack: 4.85)

Flop ($0.47) Qs 6h 4d
BB Checks, HERO Bets $0.33 (Rem. Stack: 4.46), BTN Folds, BB Calls $0.33 (Rem. Stack: 4.52)

Turn ($1.13) Qs 6h 4d 3s
BB Checks, HERO Bets $0.56 (Rem. Stack: 3.90), BB Raises To $1.12 (Rem. Stack: 3.40), HERO Calls $0.56 (Rem. Stack: 3.34)

River ($3.37) Qs 6h 4d 3s Js
BB Bets $3.37 (Rem. Stack: 0.03), HERO Folds

V Range-preflop 33-99, ATs, ATo, KQs, KQ, QJs, KJs, SCs

After flop V range 33-99, KQ, QJ, 5s6s, 7s8s
After turn V range 33, 44, 66, QJ, 5s6s, 7s8s
After river 33, 66, QJ, 5s6s, 7s8s

Did I fold the best hand? Just don't see how the 3s caused him to raise unless he had 33, maybe it was spade for FD but I doubt you are raising here with that. Then jam the river. 33 has to be the hand he had.

I think you played it optimally. The suited J is bad for you but I think you're good to call down most non-spade rivers to a bet. Remember that he has some bluffs in his range with an overbet, particularly with good blockers in too, such as As. Good laydown imo.