I'd like to have a read. Without a read, another min-raise on the flop is appropriate. If he comes back over you again, easy fold. If he just calls, the rest of the hand is going to be troublesome... i'd be aiming for the cheapest possible showdown.

Bear in mind based on the flop, he could easily be an idiot with a flush draw or KQ. Don't be too quick to let this go.