What I was going to add was what I have advocated before. And that is a combined Technical Services Department, containing all aspects of tech support for the hospital:-
Biomed
Building services
IT
M&E
... and anything else "technical" we can think of. Maybe that's the sort of thing you should be looking at.

By the way, I also favour putting "Support Services" under one umbrella as well (but not, I should make clear, the TSD one).
That is:-
Catering
Housekeeping
Laundry ...
et al