TT gets capped.

(grunch)

The villain bet/call flop and check on the turn could mean villain may have overcards, but are you figuring him for the c/r if he has a big hand like 99, QQ, KK, AA? From your read, I figure he is not a thinker. He may be being timid with JJ, so he would just call your bet on the turn. Given this, I would value bet/fold the turn, and check the river down.