Have you tried volunteering? I volunteered at my current facility, and when I handed in my resume, they kind of dismissed it until they saw I was already a volunteer there. Then they were interested, I got a work placement, and then a job. All this with NO training at all! (I started my course after the fact)
If you're getting frustrated, that might be an avenue to try. A lot of facilities have volunteer departments; try getting in touch with them, and go from there. For one thing, it looks good on your resume. For another, familiarity with the facility is a selling point, as they don't have to spend as much time on training you because you already know your way around.