A further thought. You say this guy check raises the nuts on the turn. Okay, that's a potentially useful read. Does he check raise, say, a set? Two pair? TPTK? Does he check raise as a bluff?

Let's assume your read is so good that the ONLY hand he check raises on the turn is the nuts. The problem we have here is: you checked behind! He didn't check raise you! So your read is worthless - there is no doubt at all that a huge number of hands he could be holding here check the turn BECAUSE THEY'RE WEAK. But because you didn't bet, you'll never know. So you are obliged to downgrade your "omg he was going to check raise me, I can fold second set" read to "hmm, I know he checks when he has the nuts but he'd also check here with a missed draw, air, 2nd pair, or any hand requiring pot control".

As for the river, well. You're going to find poker a real struggle if you fold monster hands to overbets every time, especially after you show weakness like you do here on the turn.