I would look for a janitor, explain your dilemma, and ask whether he knows of any storage area that you could store your bike in, and not be in anybody's way. Maybe you could even get a key if it's a locked room. Consider also the possibility of installing a hook on a wall, or one or two hooks on a ceiling, if you can hang your bike it can really stay out of the way.

Also, assuming everybody else at the clinic drives, is there a dedicated parking lot? You could try to ask HR/management to install a bike rack somewhere in the parking lot, perhaps in some corner that would not cost any parking spaces. Ideally covered and watched by security cameras.