Is villain capable of check/raising the turn? What's his AFq and W$WSF? I'm asking because from the stats you posted he looks fairly honest and I think you can generally bet the turn when checked to against this kind of players since he should be betting the top of his range here and checking showdown value that you can vbet against and buy yourself a free showdown given the fact that you're in position.

As played it's kinda the same story on the river. Again I expect villain to take an aggressive action with the top of his range and since he's in check down mode I feel like you're strong enough to vbet. This might change based on more info though (like his aggression stats/notes etc. )

Villian's check raise 5 (2/43) Won when saw flop : 44 (222/504) turn agg: 2.87