Black Mountain. Thomas Wolfe House in downtown Asheville. Nerd? SCOPE . Tourist attractions in Buncombe County, North Carolina ★ tourist attractions in buncombe county, north carolina: Add an external link to your content for free. Buncombe County School Board Updates. Botanical Gardens at Asheville (adjacent to the campus) UNC Asheville was desegregated in 1981, along with all schools in the University of North Carolina system, via the Consent Decree. Points of interest.