I dont like 3-betting a reasonably safe flop like this unless you think there is a decent chance that villain is making a stand against you because of your image.

If the turn goes check check you have to bet the river, but I think you know that. There is a bunch of hands he wont bet on the river if checked to but will call a bet. It would be a really sick play if he checked behind on the turn with a hand that beat yours and it doesnt sound like hes loose\aggressive enough to have KJ here.

If he raises the river then you have a decision (dont think he will bluff raise here very often unless he is extremely ballsy), but you cant not bet the river to avoid that scenario because you will be losing value.