Search for condos for rent in Sullivans Island, SC on Apartments.com. With 0 available, you can find the right condo with the floor plan and amenities that fit your needs. When you rent a condo, you’ll likely rent from an individual owner rather than a property management company. This means units in the same building may have different features and layouts. Be sure to check out the photos and take a tour of the unit as you search for your Sullivans Island home. There are some terrific Sullivans Island neighborhoods with condos for rent, including West Ashley. If you’re looking for a budget-friendly condo to rent, try looking in affordable nearby cities like Mt Pleasant, Mount Pleasant and Daniel Island.