Well, many general consulting firms consult for huge healthcare firms, so general business consulting might be one possible path. Another would be to work for one of the many Pharma Healthcare companies in some sort of management role.

r.e. schools, Wharton, Fuqua and Kellogg all have veeeeery strong MBA programs which incorporate a health care emphasis. Wharton has a Health Care Management major, with faculty from the Business, Medical and Nursing schools of the University of Pennsylvania. Kellogg has the Health Industry Management (HIM), really one of the top in the US. Fuqua had a great med school and is near Research Triangle Park, a heaven for healthcare job seekers. You also have Sloan,(Biomedical Enterprise Program) Haas (Healthcare certificate) and Columbia. If this is relevant you can also look into double degree programs that incorporate a Healthcare program with an MBA for example an MBA-MHA, or a MBA-MPH.