Flop I feel is mainly a x/back but unsure. Turn should mostly be a x/back, if bet I'd go on the small side. River is tough, I'm not sure we have to many value hands that want to bet big here, villain may not have too many hands that want to call however.

Turn bet is most problematic; when we bet big we give away value to the value portion of villain's range while we could simply realize our equity by checking back. Also if villain x/jam some his value range, that's a terrible outcome for our hand.

His stats indicate someone between a tight-passive and tight-aggressive play style in my opinion.
That is a very wet board and as villain can still be pretty wide would make a bet prob closer to 1/3 pot as I just want to fold out hands that missed this flop lots of hands will have hit so hes likely to continue.
Due to stack sizes I would just check turn. An over-bet on the turn is more scary if there was still a big stack behind which is not the case here so I would not over-bet this turn. Just check and realize the equity you got.
On the river would give up. There are just less missed draws in his range then semi value hands.

Flop can be bet smaller probably and I can get behind a check sometimes too. Your target here is to fold out like A6, A7, A8, 77-33 which is a good amount of combos that are completely screwed here vs a bet regardless of size The majority of the rest of his range has you in really bad shape.

Check turn seems right with this combo. Maybe barrel KcTc and JcTc (blockers are great, blockers + pair + FD are super great).