Schools in Fort Wingate, New Mexico, the US. Schools locations in Fort Wingate, New Mexico. Find the nearest schools locations, near you. All types of business services Lawyer School All schools in Fort Wingate Wingate Board of Education School +1 505-488-5698 500 Shush Drive, Fort Wingate, New Mexico 87316 Write a review Phone Directions Wingate High School School +1 505-488-6400 1737 Shush Drive, Fort Wingate, New Mexico 87316 Write a review Phone Website Directions