Can't find much in our opponent's range he could be bluffing with here if he's tight, so I think river is a fairly comfortable fold. However, I don't think the 9h is enough of a scary card for us to check the turn, especially because we don't have the Ah as a backup.

The last thing we want is to give a free card to KxJh or 8x8h or something and end up losing, and ultimately the villain is pretty likely to check-raise this turn with a flush anyway, so we can very comfortably just bet the turn for value and fold if we get check-raised, in the knowledge that a tight villain will likely call a lot of weaker hands here but will raise with anything better.