There are numerous Long Term Care facilities in the area, mosy of which always have jobs available. Here are a couple of websites to watch for job postings for the State of Utah, specifically the prison and the state hospital. I completed some clinical training at the prison and there were positions for EMT's through RN's.
State Prison - http//corrections.utah.gov
State Hospital - www.ush.utah.gov
I was unable to open the employment link so here is an email address for contact info: [email protected]
Good Luck -