Thank you all. I DID go ahead and drop off my application today. But, thinking over it more, I decided that if they do indeed call me, I may inquire about a substitute nurse position instead if available. That way, I can continue gaining experience at the hospital but would be able to fill in at the schools when needed since my hospital gig is part-time. Wishful thinking for the best of both worlds? Maybe. But you never know unless you ask, right?
Where I am at the school nurse position requires one year of experience but a BSN can "sub" for that experience.
I do have some experience. Not nursing specific, but I was military healthcare for 20 years. I've had to manage clinics, staff and patients. I think I would be great at working independently and making decisions, but could definitely use some assessment/implementation time in the hospital.