Why don't those jobs open often? Well, for one, they aren't entry-level jobs. A sizable majority of your competition for those jobs has a masters degree in Health Administration. A bachelor's in HA is a bit like a bachelors in psychology: On its own, it doesn't get you very far. It mostly exists as a means by which to get you into graduate school. The entry-level jobs are in HR, finance, and business operations. You will not be an administrator without more education and experience. There is too much competition for too few slots.
Working on my master's in nursing