Taking a free to prevnet yourself from getting commited.

[Unabridged]

unless his PFR% is high, he most likely has an overpair
if you check and another broadway comes, a strong raise from you will probably make him fold a set.
i say put some money in the pot, so its big enough he won't walk away if you hit a big card(like Qs) on the turn. maybe halfpot if its not out of character, what would you do with JT or a set in this spot?
also if the pot is bigger you might be able to get all in on the turn with a freeroll if he hits a broadway straight too, especially if he puts you on a set