Tough spot - hit set, but two possible draws

[EasyPoker]

Villain is 95/68/38 over 23 hands. No other reads, but his stats say a lot really. His range is so wide, that nothing is out of the ordinary.

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

BB ($2.53)
Hero (UTG) ($3.66)
MP ($3.28)
CO ($4.79)
Button ($4.26)
SB ($4.22)

Preflop: Hero is UTG with ,
Hero bets $0.08, 2 folds, Button raises to $0.14, 2 folds, Hero calls $0.06

Flop: ($0.31) , , (2 players)
Hero bets $0.28, Button calls $0.28

Turn: ($0.87) (2 players)
Hero checks, Button bets $1, Hero folds

Total pot: $0.87 | Rake: $0