Of course you have to call his silly min-reraise

I don't think you do at all. All ou have is a gutshot draw and your oppo has demonstrated clear strength. The only hope you have here is to stay in with the gutshot, hit it and destack him thanks to implied odds, but this isn't going to happen often enough to be worth it.

The river was just appalling. You're repping trip 3s, right? He'd have even called an all-in here, I'm sure. He would most likely have put you on KQ or similar, I think, so the cards that appear on the turn and the river probably didn't even resonate as a potential threat.

The flop limp/re-raise is a certain sign of a strong hand, at worst TPTK but probably better. You just don't have the weapons to tackle it.