I stumbled across a podcast on iTunes of Joe Carter singing Swing Low Sweet Chariot. It's quite simply the best version of this spiritual I've heard.
Carter sings a slightly shortened version, but I love the way he and his piano accompanist pick up a bit of strut/swing in the second verse. Don't know the name of the accompanist but he or she does a great job.
To double check, I listened once again to the Paul Robeson version, and still think Carter beats him out.