Put her in her own room. Any spare room away from the other dc kids. Sassygirl had some good advice. I would also invest in an ipod with some great earbuds. Play your music, drown out the crying. Eventually she will sleep. You are in essence sleep training her. A 12 month old needs a longer nap than 30 min. And you need a longer break. Don't sacrifice your break. Why should you? You are doing a disservice to yourself and the other daycare kids by not allowing yourself to rest and catch up on things. Those children need a refreshed and rested provider.
If parents aren't on board with crying it out...then I would terminate.