[sherbert]

OK, my take - and I'd like to hear from those who disagree: it makes absolutely no difference as to what you do. Bet the turn for value; check to induce a (possible) bluff - or check fold the river (player dependent). Either way, it is 50-50. Don't forget some players will fold if you bet the turn, reducing any positive ev where you are ahead. It's a bit like the river arriving early - you will only be called by hands that beat you. Will a 6h or a 5h call here?

As a default play if he checks I'd be inclined to bet the turn for value but it's incredibly close, I suspect your ev either way is tiny. The only difference I can see is how it might effect plays later in the session.