I'm a sucker for multiverse type stories, and this one nails the concept. I'm also a sucker for the idea of running a safe shelter/rest stop in the middle of the apocalypse. It's fun to see the society that would arise in this situation.
Was reminded of the story "And Then There Were (N-One)" by Sarah Pinkser. That one's a murder mystery, though, so I think it's darker in tone, despite its slightly more hopeful setting.