Joe
I am so sorry to break this to you but hospitals are mercantile purposes as well. Granted they may be more chashuv than beans but so is wine.
“I don’t think anybody would object to naming a shul or yeshiva after a godol. “
Dont be so sure it is a very big often strange planet. I didtn think anybody would object to naming a wine after a Rishon who was (beleived to have been) a wine-merchant