I don't want to give you false hope, but one of my friends was a dual resident (or so she told me) at the time she was applying to medical school. Her family moved to another state for the sake of better schools, but her dad remained behind to continue his medical practice. We keep in touch, so I'll find out some details for you, but it may be awhile. (And, no, her parents were not separated/divorced.) 🙂