I moved to the Charleston area from Wisconsin about 20 years ago.
It's VERY hot here.
In this area of SC the season starts Aug 15 on private land and you can use bow, crossbow, rifle, pistol, or muzzleloader.
The Francis Marion Forest (public land) is close by and gets a lot of use, but if you're willing to do a lot of walking you can find some good areas. I shot a 142 class 13 pointer there last year.
Seasons and bag limits very from place to place. On private land in this part of the state its 2 deer per day. You can buy doe tags and they have doe days through the season also.
It's a little hard finding free private land, but timber companies lease their land and you can get on clubs that will cost $500 on up.
Here is a link where you can find a lot of info.
http://www.dnr.sc.gov/