I'd agree, except for the fact that whatever pathogens the snake died from could be shared by that mouse that made contact. I wouldn't want to doom a future pet snake, that's for sure. But maybe ask the vet what is safe, just to be sure? (And btw, for a house-pet, mice smell bad, especially the males- I'm not being sexist either, they mark their territory, etc.- trust me, I raise mice.)
Offering them up for adoption would be a good option, but make SURE it's not for snake food- be sure they understand & don't have a snake.