You could try volunteering at a hospital, but because of liability issues, you likely won't
be doing any nursing stuff. Instead, you may be visiting patients, helping out in the gift shop or an office, being a greeter, working in the chapel...things like that. It's not horrible stuff to do though and hospitals really appreciate it, so do check it out. In fact, if you really want into a specific hospital, volunteering there--while no guarantee--could help you make some connections.
For myself, I went to the city clinic and volunteered my services. I felt they needed me more than the hospitals did, plus there I can actually practice as a RN
There is one hospital I may go volunteer at though, if nothing happens in the next couple of weeks with the job search.