[kurto]

I think this is really people dependent and also, without knowing what the opponent has, completely random.

A couple of things to consider (imo)... a lot of people get scared by a paired board. A lot of people drawing to a flush realize they might be drawing dead once the board pairs. He might not pay to get his flush... but if he gets there for free, maybe he won't fold it.

The person might have an underpair and wanted to 'test' if the hero really had an ace. He might bet if checked to. He might bet if the hero shows weakness anyways.

Personally, I only check with a set if I know an aggressor after me will definitely bet. I'm only saying that in this case, with the hero's stack so short, I don't know if it makes a hell of difference what he does.

Without knowing the villain's hand, we can't say for certain if he's more likely to call a bet on the turn or the river.

If there were 2 deep stacks, I would say 'build build build' that pot.