If a patient on a desert island has a broken back or needs an emergency appendectomy, I'd say to hell with HIPPA and radio regulations.
Fortunately, the FCC regs already agree with you. When human life is at stake, there are no restrictions upon operation of a radio apparatus to save said life. Distress calls can be legally sent by anyone on any frequency at any time, regardless of license or lack thereof.
The short version is "in an emergency, anything goes", and is widely accepted in the international community as well.
I don't understand why in hell any hospital thinks the amateur service is of any use to them, anyway. Anyone who thinks hams are any use in an emergency (besides getting in the way of public service workers and disrupting communications in some misguided delusion of grandeur) is drinking some very strange-colored Kool-Aid.