Apartment For Rent In Charleston Sc Downtown . This property is in a great location that keeps you close to plenty of shopping, restaurants, and the james island connector. If downtown charleston is your favorite neighborhood in charleston, sc, apartment finder will help you discover more than 154 amazing. Rentals and Apartments in Charleston SC from charleston.com Downtown charleston, charleston, sc average rental price, may 2022 $3,007 /mo. Find your next apartment in charleston sc on zillow. This property is in a great location that keeps you close to plenty of shopping, restaurants, and the james island connector.