The Swannanoa River flows through the Swannanoa Valley of the region of Western North Carolina, and is a major tributary to the French Broad River. Its headwaters arise in Black Mountain, North Carolina; however, it also has a major tributary near its headwaters: Flat Creek, which begins on the slopes of Mount Mitchell. The Swannanoa River ends at its conflu…The Swannanoa River flows through the Swannanoa Valley of the region of Western North Carolina, and is a major tributary to the French Broad River. Its headwaters arise in Black Mountain, North Carolina; however, it also has a major tributary near its headwaters: Flat Creek, which begins on the slopes of Mount Mitchell. The Swannanoa River ends at its confluence with the French Broad, now within the grounds of the 8,000-acre Biltmore Estate in Asheville.