1 hour drive northeast of Brevard.
The towns of Black Mountain and Montreat make an enjoyable whole- or half-day outing, depending on how much hiking and/or shopping you want to do.
Black Mountain has a lively downtown. There are dozens of craft stores and cafes, in a beautiful valley surrounded by mountains. To get there, take I-40 East from Asheville to the Black Mountain exit.
Montreat was originally a Presbyterian mountain retreat (and still is), but is now also a conference center, college, history center, campgrounds, and small town. It’s also a hiking center. To get there, from Black Mountain take route 9 north for 2 miles to the stone gate (shown) then another 1.5 miles to Lake Susan.
If you have time on the way back, you might consider a visit to the Folk Art Center on the Blue Ridge Parkway. From I-40 West, take exit 55 (there will be brown signs for the Folk Art Center). Follow US70 a mile or so, and take the Blue Ridge Parkway North exit ramp. The Folk Art Center is a mile or so on your left. To return to Brevard from here, you could take the Blue Ridge Parkway south for 12 miles, taking the NC-191 (Brevard Road)/ NC Arboretum exit. Follow NC-191 south for 7 miles to its intersection with NC-280. Take a right on NC-280 and follow it 12 miles to its intersection with US64, and on to Brevard.