Asheville streets and streams:
Asheville in broad outline:
County rivers and streams:
I started to think the county GIS site framed maps in terms of roads, but I found, when I went back to it, that I could remove roads from the maps and layer in only streams and rivers.
The maps above and more can be found at the county's GIS web page: http://gis.buncombecounty.org/viewer.htm