It's an interesting subject.
I know the CEO of a large London NHS Primary Care Trust, and she was recently invited to advise the American government on setting up similar health trusts there. Her expertise is in hospital management, and although she doesn't need to make a profit she certainly has to manage a range of services within very strict cost parameters.
I would imagine that the value of the NHS brand lies in the wealth of medical administration skills that lie within it. Commercial Consulting services would seem to be the way to go, or some kind of franchising arrangement. it's easier to run that kind of service at a profit.