Townhouses for Sale Downtown Charleston, SC | Downtown Charleston SC townhomes for sale. Listings MLS townhouses on historic peninsula of Charleston SC. The Charleston SC area is flush with townhouses, some new and some older and even historic especially in Downtown Charleston SC. Here you can see all the single family attached homes for sale in the historic area a.k.a the peninsula of Charleston SC. Search by price, size, sq ft, number of bedrooms, age, and neighborhood borough. CONDOS DOWNTOWN.