Oh how I wish I could send you my executive leather desk chair sitting unused in my garage!
And that leads me to thinking how about craigslist? Buy your own chair and bring it into work?
Chairs are mighty important in the office...when we renovated our suite, chairs were at the top of the list for my employer and it had to do with environmental health and ergonomics. Seeing that you work for a health care facility, I would imagine they have a similar mindset as my employer when it comes to reducing incidents claimed on their health insurance policy.