This is a tough hand but I think you played it ok. I am still curious what the third player was playing, there arn't that many cards that h could have been playing. As for laying down to a min raise, you really can't. Maybe if you are playinf a really deep stacked game but not at party. Players will often make the same play with AK,AQ, A2, hel its party dont forget 92. You will win more money than you will lose in this situation. What I dont like is the call here, either you are way ahead or you are behind. If you are willing to call all in after the river you should reraise and put him all in on the turn.