There are numerous 4-unit or 6-unit brick apartment buildings in the Kanawa City area, built immediately pre- or post- WWII, and many of them took pets back when I lived in that area. John Damous owned one at 4704 MacCorkle Ave but it's four 1BRs. He or his family also owned several other old apartment buildings in the Charleston area. I don't know if he's the John Damous financial adviser or even whether he's still living.
Cross Lanes is really inconvenient and the farther you are off I-64 the more PITA and time delays it is to get to town, especially in winter. I used to take the back road into North Charleston from either Cross Lanes or Dunbar because the Interstate is so bad. Dunbar is not a bad distance to drive to downtown Chas, but I don't know how far south you need to go. I guess they've widened the I-64 bridge at Dunbar, too, so that ought to help some. Cross Lanes is too far out, though.
The problem with trying to find rentals to the South is that Corridor G didn't open up until the '90s and what was built there is individual homes. South Charleston or Spring Hill might be another place you can look for a townhouse or duplex. South Charleston has a surprising number of duplexes, townhouse type built as duplexes, but made to blend in with single family dwellings. But people started buying those and converting them to large single family homes in the 2000s, so maybe a lot of those are gone now, too.
http://south-charleston-west-virgini...omeliving.com/ and I'd also phone some of the Yellow Pages listings for property management, because lots of those small buildings never advertised, so that they could control the type of tenants.