Like mousey stinky or stinky like rotten? I wouldn't feed anything that was rotten.. They probably are hardier for that stuff than people are, since they are strictly predators, but I still wouldn't knowingly take the chance.
You might also look to the cause. Did the power go out, or were the mice left out for a period of time? The reason I say that is cause you can fix the problem before you put out a bunch of cash on new mice.