Virtual school is made for this kind of scenario. There were times when this was a complete life-saver for us with DD, when minor respiratory illnesses could send her immune system into a tailspin. She often was only able to work for 6-8 hr during those days, and I'd say that ordinarily she has pretty low sleep needs. It was just that medically, things could get complicated in a hurry.

Schrödinger's cat walks into a bar. And doesn't.