There's the Biltmore House (260 or so rooms of a rather nice c. 1896 mansion, real American nobility.) Of course, that may not be your thing. As I recall, they do have some good ice cream at a creamery associated with the place.
Otherwise there's lots of shopping downtown--mostly artsy things done by the ex-hippie crowd. Good if you have any back-to-nature female friends to get presents for.
Hope others can come up with something more amusing.