Two excellent options:
I-85 N → I-385 N → I-185 S → US-176 E through Blue Ridge foothills. Passes Lake Hartwell, Caesar's Head State Park, Hendersonville.
I-85 N → I-385 N → US-276 E direct to Asheville.
Consider traffic, weather, time of day, holiday weekends. Use real-time apps for updates.