S.C. Code Ann. § 27-39-60

No county or municipal corporation may enact, maintain, or enforce any ordinance or resolution which would regulate in any way the amount of rent to be charged for privately owned, single family, or multiple unit residential, or commercial rental property. This section may not be construed as prohibiting any county or municipal corporation, or any authority created by a county or municipal corporation for that purpose, from regulating in any way property belonging to the county or municipal corporation or from entering into any agreements with private persons which regulate the amount of rent to be charged for rental properties.