.
I think the board on the turn hits his range hard. I dont have think you have fold equity because he is already commited to the pot on the flop and his a fun player.
Better to check
On turn I think I like the check/ shove option best. if he checks back, you get a free river, if he bets, he might fold to a shove and else you have some good outs.
If you start to do the betting and he raises you allin, It would be wrong to call, even with the outs. He will probably have smtg good. I dont see him raise shove as bluff often.
btw, I would have cbet the flop for sure. The decision OTT would have been easier too.
Preflop seems ok to squeeze.
I would just try to take it to showdown after checking the flop. I also dont like to cbet this board OOP.
Fold equity on NL2? Seems to me these days that hardly anyone ever folds on the flop and certainly not after a missed cbet.