[Nytecaster]

I believe the correct play here is based on more than just the starting hand stats of the player. We need post flop information and tendencies from prior hands to help make the decision what the best play is here. We could go over each of them one by one but I'm sure our time is best served with a general thesis here.

The truth is, top pair top kicker heads-up and out of position on the river is where you are most vulnerable in the hand. Reads are the only answer here. I generally check or bet a bit smaller to not get so pot committed.

Whenever you bet a river, you always have to consider their stack size and if your bet and their possible push puts you in a mandatory position to call. If that is the case and you feel confident you have the best hand, you might as well push him all-in to begin with and put the decision on them. However, you're usually better off betting just enough to where a raise by the opponent means something but is still something you can get away from.

You don't have to worry about protecting your hand from more cards so the standard sized bets don't apply in this position. Reactions mean more in this spot.

That's my take.