[creedofhubris]

Ordinarily you check behind when you've picked up a very good draw, think your opponent is trapping with a monster, and don't want to be blasted out of a pot.

I think that the fact that an overcard fell on the turn means you should bet out. Villain has to be afraid of the queen if all he holds is a pair of jacks. IMO any hand that villain is check-raising doesn't fear the queen and thus can beat one pair. So you have four outs vs. a check-raise, which is not really worth writing home about.

IMO you're better off betting out and trying to take down this pot again, and if you're check-raised you can drop without too much worry.

If the ten had dropped on the turn, giving you the same draw, then checking behind would be better, because the likelihood of a check-raise is higher, and he's not going to fear the ten like he fears the queen.