[SpineyFish]

Here's an outside of the box play...

How about a min-three-bet? He's confusing you with his min-raises. Give him a taste of his own medicine. If he pushes back you can lay down knowing you're beat. If he min-raises again you have pot odds to call. The three-bet will most likely get the button out, so you aren't worried about the outs being dominated anymore.

It seems he isn't on a bluff since he called your all-in, but if he does have a set and calls and the board pairs you can still get away from your hand. Also, he might think he'll be able to check raise you again on the turn and give you a free card inadvertently.

What you lose with a three-bet min-raise is the fold equity. Although I'm not sure if you ever had any here. Did he contemplate the all-in? or instacall?