I agree that relocation may be your best option.
Regarding your job offer, when I have been unsure about accepting an offer, I ask if I can shadow someone in that role for a 1/2 day. I was offered a job as a case maanger but wasn't really sure what the job involved. So I observed one in action for 4 hours and was able to see what his day was like; I also got to meet a few of the case managers and they were very friendly and receptive to training someone new. If the DON says no, it's probably because she knows that the nurses there would all be telling you to turn down the offer.
Also, 2 days of orientation is ridiculous. If you are going to be giving meds to 20 or 30 patients there's no way you can get up to speed that fast. If you are going to accept a position at a SNF (and hopfully a different one than in your post), I'd recommend the night shift - there are usually a lot less meds to give.