$100 - OOP Combo Draw faces turn min-raise

[Manchild84]

Villain was 39/20/1 over a smallish sample...
I don't have enough combined fold/pot equity to push this turn, do I?

Ultimate Bet - No Limit Hold'em Cash Game - $0.50/$1 Blinds - 5 Players - (LegoPoker HH Converter)

SB: $153.85
BB: $142.50
UTG: $98.00
Hero (CO): $104.35
BTN: $115.25

Preflop: Hero is dealt (5 Players)
UTG folds, <font color="red">Hero raises to $4.00</font>, BTN calls $4.00, 2 folds

Flop: ($9.50) (2 Players)
<font color="red">Hero bets $8.00</font>, BTN calls $8.00

Turn: ($25.50) (2 Players)
<font color="red">Hero bets $20.00</font>, <font color="red">BTN raises to $40.00</font>, Hero calls $20.00

River: ($105.50) (2 Players)
Hero checks, BTN checks

Pot Size: $105.50 ($2 Rake)