Unfortunately not. At least I dont know of any. There are some dirt roads but thats about it. All the places we used to go are now private property and mostly developed. On a side note you'll enjoy chuck town and Edisto. We go to Edisto all the time to go to the beach. The state park there is really nice if your planning on doing any camping. Camp site 3 is my favorite. Just over the dune frome the beach.
If you need some idea's of what to do in Chas. check out this thread