Villain min-raised 1/4 and limped 3/4, folding to iso 3/3. These small reads made me want to 3bet relatively large for value.

I think my flop sizing is fine, but I'm really lost on the turn.
Do you think there's still enough 86s, 76s, 75s, 65s, 54s, 43s in his range to make shoving +EV? I was pretty sure there aren't, so I decided to check, with the intention of folding to a shove, assuming most Ax will check back the turn. But will they? Do you see enough Ax shove the turn to make this a call? We need 28%.

PokerStars - 10/20 NL (2 max) - Holdem - 2 players
Hand converted by PokerTracker 4

Hero (BB): 24 BB
SB: 26 BB (VPIP: 55.56, PFR: 24.00, 3Bet Preflop: 0.00, Hands: 27)

SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has J J

SB raises to 2 BB, Hero raises to 6 BB, SB calls 4 BB

Flop: (12 BB, 2 players) 6 4 2
Hero bets 4.5 BB, SB calls 4.5 BB

Turn: (21 BB, 2 players) K
Hero checks, SB bets 15.5 BB and is all-in

I think Kx is pretty rare here given the flat pre and the call on the flop. I think it's a clear call, villain's range should be weighted towards spewy stuff.

Coffeeyay did you pour some whiskey in your coffee by any chance?

There's a pretty high chance I'm too nitty here, but how do we call here?

If villains 2x-flatting range is around A2s+, K8s+, Q8s+, J8s+, T8s+, 98s, A2o+, K9o+, Q9o+, J9o+, T9o. There's plenty of Kx in that range that will call a small cbet. Now I could see villain jamming some A5o or JT here, but is it really enough to justify a call or do you expect to see a decent amount of complete bluffs?

I could see us check-calling a blank river if turn goes check, but how do we rationalize a call here? The bet size is definitely a bit suspicious for Kx, but the board is drawy too so it's not out of question.

We cant ever fold here lol we need to be good 1 in 4. Ahead here way more than 50%!!!

I don't think your flatting range is at all accurate for a recreational. There's plenty of 6x that can jam turn here like Q6, J6s, 96s, 86s, A6. There's also hands like A2, A4, Q2, Q4. Also plenty of random bluffs imo, including really weirdly played Ax and 3x 5x hands. We're mostly losing to KQ KJ here, imo just not enough combos compared to thin value hands we beat and bluffs. K definitely isn't our favorite card--kind of sucks we now lose to K4 K6, but I think it's pretty rare they'd play this way...

Also, yeah only need 28% equity, so don't need to beat a majority of his range here anyways.

Ok, I see your point. The reason I did not include these hands in villains range is because he's limped 3/4 so far and only raised once. Hence, even given the sample is low, I expect his range to be more geared towards value hands like high card combos and Ax.