Barreling your good-but-not-great hands isn't necessarily best, even against those who rarely raise. If you think he often has you beat on the board in question, and won't fold, that gives you more reason to check and play a (on average) smaller pot.

To put it in more formal terms: 

If you think he often has good equity that will rarely fold incorrectly, you have incentive to check your medium strong hands, that's a good starting point. Even if a bet isn't likely to get you in trouble, playing a smaller pot could be better.

If he stabs frequently, you of course call happily and then play the river. If he rarely bets worse hands, you have worse equity when you call, but now you also have better implied odds. Figuring out the pot odds + implied odds + best river strategy isn't hard when you have a good idea about his range and tendencies.

I don't know what's the maximum +EV line for this particular spot against this particular player, but those are sound principles to start with. You should also think about how often you continue after a check. If you always bet your decent-to-great hands and only check your worst hands, you make it easy for him to steal after you check.

Maybe he will exploit it, maybe he won't, but it's good to aim for some balance regardless. So you want to make sure you check some hands that can c/r or c/c. The medium strong hands that have equity but don't want to stack off are obvious candidates for check-calling.