Tuna Puzzler mentioned that I don't have to exit the game when I want to use my backups..so what I'm doing is getting them to try for a child, after they succeed, I pause the game and take a screenshot of the family tree and edit the new baby into my photoshop file then I switch to another one of my families (I just keep this one paused), replace the saved files with my backup, return to the mutatation family and voila! no more baby, I can keep going.

OMG! I think I just had triplets and they're mutants, but not one of the bottom four hairstyles