Check the turn, and just fold to a decent sized bet, your equity is pretty meh vs his continuing range since there are more combos of Qx and better continuing than any worse hands.

Not sure why you're so worried about simply c/f this river. he has very little to no air in his range here, will checkback worse pairs and maybe even ace high if he even has that and bet everything that beats you (Qx 7x flushes) Very easy c/f, you have no reason to feel you're being exploited by taking this line.