By my calculation, it's about five miles from Asheville to the U.S. Highway 74 junction with the Blue Ridge Parkway (milepost 384.7). From there, you'll wind your way up the BRP to the junction with U.S. Highway 21 (milepost 229); take US-21 northwest through Sparta, NC, and continue on to Wytheville. That's about 41 miles. So in total, you're looking at a mileage of 201.7 miles!