I have my CNA in Lexington and I found it very difficult to get hired at any of the regular hospitals. I wasn't interested in nursing homes either. I ended up working at Eastern State Hospital - the psych hospital. It's got a reputation as being kind of creepy, but I really love it. It's so interesting.
You can be provisional and just work 30 hours a month on your official schedule and then call in to pick up shifts whenever you have time. I rarely have a problem making ends meet even though my hours aren't guaranteed. Very flexible. As to tuition assistance, I know it's there, but I don't know the details.
Also, there are a lot of nursing/pre-nursing students there. Most of the rest are psych majors it seems. All very nice and helpful.
About the job - we're Mental Health Associates, not CNAs. You don't need your CNA, though most have it anyway. There is one floor that's a lot like a nursing home, but the other floors are mostly people who need social skills help and redirection from doing crazy things.
Anyway, it's worth a shot if you don't find anything else. Good luck.