Personally i would go ahead and c-c the turn over barrelling. I don't think we fold out any hands that called the flop, and we will get shoved on some % which I don't love.

If you do decide to bet the turn you should have a plan of what you will do if raised, folding is kind of sucky but so is calling and why I like checking.

I agree with @Harvie. I think check/calling the turn works better on this particular texture. I also couldn't get away from the hand given the board if I did get raised on the turn, but it's far from ideal situation.

On a board of this texture I'd be using slightly larger bet sizings on flop and turn.

I would often be betting the turn but the check line seems attractive now that it's laid out in front of me. I do think that if you're betting it should be with the intention to bet/call. Bet/folding here seems really weak with the NFD when villain can have some worse draws in his range.

Being as villain isn't full stacked I don't mind the 3 bet pre, though it's normally a call for me.

Betting flop and turn is my usual line here. I did some work with @w34z3l last year on barreling the turn OOP in a 3 bet pot and with plenty of outs it's surprising how little fold equity you need. Villain can fold all his overcard floats and some second pair type hands so it's not a lost cause.

As for calling it off, it's probably thin but with about 25% equity needed and the possibility that villain can bluff some of his draws that missed on the flop we can likely go ahead and make the call.