Wow, here is the code:
SECTION 56-5-3420. Rights and duties of bicyclists generally. [SC ST SEC 56-5-3420]

Every person riding a bicycle upon a roadway shall be granted all of the rights and shall be subject to all of the duties applicable to the driver of a vehicle by this chapter, except as to special regulations in this article and except as to those provisions of this chapter which by their nature can have no application.

SECTION 56-5-3430. Riding on roadways and bicycle paths. [SC ST SEC 56-5-3430]

Every person operating a bicycle upon a roadway shall ride as near to the right side of the roadway as practicable, exercising due care when passing a standing vehicle or one proceeding in the same direction.

Persons riding bicycles upon a roadway shall not ride more than two abreast except on paths or parts of roadways set aside for the exclusive use of bicycles.

Whenever a usable path for bicycles has been provided adjacent to a roadway, bicycle riders shall use such path and shall not use the roadway.

All the usual rules plus that really weird path thing. Where I ride, there are farms only. So no paths. I guess it can't come up except in places like Hilton Head. Rural SC has no problems with that clause.