I worked at a hospital for 5 years and from my experience these are the positions that do not require previous medical work:
--clerk positions: day surgery's clerks, outpatient admitt, ER admitt, and radiology clerks.
--technical assistants for radiology (hanging x-rays, etc.)
--file clerks in x-ray
--file clerks in medical records
--patient transporters
--housekeeping
--cafeteria
As you can see there are several opportunities that you may want to grab if available. I know the hospital I worked for did the tuition reimbursement also but I wasn't attending school at the time. Now you've got me thinking of possibly returning!

Good luck!