Villian is 34/1 and semi-passive by numbers. What do I do after the smooth call with that board? I'm never great at firing that second barrell and do I just drop the hand, call it down or check raise to a missed flush draw? If I stayed I'd be lost on the river.

Thanks for help.

Ultimate Bet No-Limit Hold'em, $.10 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB ($2.60)
Hero ($12.25)
UTG ($10.25)
UTG+1 ($11.53)
MP1 ($10.55)
MP2 ($18.86)
CO ($14)
Button ($4.55)

Preflop: Hero is BB with A, Q. SB posts a blind of $0.10.
Hero raises to $0.3, 2 folds, MP1 calls $0.30, 2 folds, Button calls $0.30, 1 fold.

Flop: ($1) 3, A, 9 (3 players)
Hero bets $1, MP1 calls $1, Button folds.

Turn: ($3) 6 (2 players)
Hero checks, MP1 bets $2.25, Hero....