Some method of allowing the player to find out what the unselected two Sokoban prizes were, after picking up the chosen prize and the other two poof out of existence.
Cheating in Sokoban no longer affects Luck. Instead, the amount of cheating you do is tracked; the quality of the prize item degrades the more you cheat. So a little bit of cheating might still give you the amulet of reflection, but a moderate amount would turn it into an amulet of ESP, and a lot of cheating would turn it into an amulet of restful sleep or something.
Sokoban prize closets that don’t have the prize instead have mimics that imitate the prize.
Sokoban will either contain a prize of ‘‘three’’ amulets (one reflection, one versus poison, one other), or three bags (one holding, one oilskin, one other).
In variants that have multiple selectable Sokoban prizes, one prize is multiple random rings and a random amulet, but there’s no way to see what they are without sealing off the other prizes.
Replace the Sokoban rewards with something that is still nice but not AS nice.
