Tybee Island has Rivers End, the campground is owned by the city. Smaller sites but very clean and nice if you are not in a hurry and would like to see the beach, about 25 minutes from downtown.
If you do not prefer a destination campground but a place for full hookups and overnight that is clean and safe Hardeeville RV just 10 minutes from downtown in SC.
There is a KOA and another campground north of Savannah at exit 33 off of I95 at Point South.
Skidaway state park is an option as well.
Redgate Farms is just off I16 full hookups as well and probably the closest to downtown.
I have stayed at Rivers End and Hardeeville RV when relocating back home, the others I have visited friend who were staying there when passing through.
Chris & Dianne
Jayco Designer 3110 SOLD 6-11-2016, looking for the next one.
F250 PSD 4x4 Crew Cab