imo betting the turn was not a mistake just because you have to discount top pairs, sets and two pairs checking the turn on this wet board. If you had been OOP, then I would have liked checking the turn better because you'd have to stretch it to get more than 50% equity against his calling range. But when he is OOP and checks the turn, his (logical) range changes.

Sizing is fine also as you want to get as much money in there as possible before he blanks the river with his draws. Maybe even shove the turn.