Sorry I just caught up with my forums. Palmettohealth.org has the wages for a new RN at 18.08 (I think) and it looks like they have a good variety of units to pick from. I worked for them for many years.
There is a quite nice Lexington (County Medical Center) maybe 5 mi from downtown Columbia -can't seem to find their URL.
There are 2 Providence hospitals mainly heart, OB and ortho http://www.provhosp.com/employment/
Several mental health facilities, an army hospital at Ft Jackson, A VA hospital-a GOOD VA hospital that is.
Texas and SC are both in the compact states where you can work with your home state license but follow the work state laws. I hope that made sense.https://www.ncsbn.org/158.htm
SC is lovely all over (Im a bit biased) http://www.sciway.net/med/colamed.html
C'mon down/up/over and become a nurse here. BON rules etc are at LLR.org.(that's Labor, Licensing and Regulation. Nurses are in with fire marshalls, accupuncturists, barbers etc.-odd but very easy to find what you are looking for)