Ditto what everyone else says about Pisgah Inn. Arrange a night’s stay there if you can manage. Otherwise, plan on being there for a meal. The views from the picture windows in the restaurant are world class.
Linville falls are a must see. Bit of a hike to the best views, but worth it.
If you have time, you might stop by Laurel Falls in the Great Smokey Mountain National Park. Very picturesque.
We enjoyed the Moses Cone Memorial Park and mansion near Blowing Rock. Grandfather Mountain is kind of a tourist trap thing, but the bridge and museum are worth it.
I second the town of Blowing Rock, NC and the hiking trails around Mose Cone Park.
http://www.blowingrock.org/mosescone.html
This website has lots of info:
http://www.romanticasheville.com/
Happy trails!