I am much more partial to a call on the turn here. I think it wins the most and loses the least. We don't mind giving up a cheap card here if he is on a flush draw or PP < JJ. If he has a 6 or QQ-AA, we lose less by taking the cheap card.
The only real worry is if you think this villain plays AK or other overs like this. If he fires 2 barrels into a missed flop, then the raise might be appropriate.