South Carolina just isn't, generally speaking, the sort of place where caddies are a "thing".
The closest geographically to the area being asked about is Sage Valley down in Edgefield County, not too far from Aiken and Augusta. Go about an hour or two north of there and you enter the Upstate. And it's a bit more Upstate-like than the coastal areas, culturally.
But almost any course in South Carolina with a caddie program is going to be either a resort or a "second club" type of place which caters to a national membership. Local clubs haven't generally had caddies around here since probably the 60's.