These big draw hands OOP in a raised pot are giving me trouble. I usually fire the 2nd barrell and am either called again or min raised which gives me odds to call but if I wouldn't have bet I'd end up losing less when the draw misses, but also win less if it hits.

Is check/calling the turn better against an unknown opponent? In this hand I only had around 25 hands where villain was 14/5.

Party Poker No-Limit Hold'em, $ BB (7 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

CO ($61.50)
Button ($13.75)
SB ($61.15)
BB ($53.70)
UTG ($48.50)
Hero ($74.80)
MP2 ($35.94)

Preflop: Hero is MP1 with K, A. SB posts a blind of $0.25.
1 fold, Hero raises to $2, MP2 calls $2, 4 folds.

Flop: ($4.75) 3, 9, 5 (2 players)
Hero bets $3, MP2 calls $3.

Turn: ($10.75) 6 (2 players)
Hero???