Directions to Burnsville from Asheville. On I-240 follow signs to US 19/23 toward Weaverville, stay on US 19/23 for approx. 19 miles. Turn right at the light where 19 splits from 19/23 and follow the sign to Burnsville. (approx. 13 miles) This is a general map for the directions. Specific directions will be given once one of the houses have been rented.