After his call on the flop, you should be looking for one more street of value for your hand. Either bet the turn and check river, or check turn and call a bet on the river. Betting the turn might be the better idea of the two because you have position and maintain control of the betting. It's rather difficult to call large bets on the river after two more streets of cards have come.

Here, you have less information than if you had bet the turn. you could term your turn bet as a blocking bet, making things easier on later streets.

I'll often check the turn in this spot as well, but only with the intention of calling nearly any bet on the river.