Turn - Gutshot and Nut FD? Fold?

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Turn - Gutshot and Nut FD? Fold?

Blinds: $0.05/$0.10 (6 Players) BN: $6.05
SB: $10.91
BB: $31.02 (Hero)
UTG: $10.00
MP: $10.00
CO: $10.22
Preflop ($0.15) Hero is BB with A 2
UTG folds, MP raises to $0.30, CO folds, BN calls $0.30, SB folds, Hero calls $0.20
Flop ($0.95) 3 J K
Hero checks, MP checks, BN bets $0.40, Hero calls $0.40, MP folds
Turn ($1.75) 3 J K 5
Hero checks, BN bets $1.70, Hero folds

Villain is unknown - only 2 hands with them and no Data.

Now im pretty sure given that Button is short stacked i do not have the correct implied odds to call turn which is kinda why i decided to fold.
But if Villain was say 100BB to start the hand with, Can i X/Shove turn?

CREV shows me only having 30% equity if i shove over Buttons Turn bet.
Expect Villian to be betting weaker FD's, TP and Straight Draws.
Id expect them to check middle pairs, Unsure if they would Check or Bet their Gut shots.

So if i discount an Ace being good to win the hand,
should give me 12 Outs remaining. 9 clubs and 3 fours left.
Which gives me 25-26% equity,
So am i right in thinking that It would be +EV to Check/Shove Turn if Villain was 100BB to start the hand?

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