Schools in La Mesa, New Mexico, the US. Schools locations in La Mesa, New Mexico. Find the nearest schools locations, near you. All types of business services Finance Insurance School Travel All schools in La Mesa Northern On Track Pre-K School +1 575-233-3475 253 Chimuri Street, La Mesa, New Mexico 88044 Write a review Phone Directions TMC Migrant Head Start School +1 575-233-2221 110 Florida Street, La Mesa, New Mexico 88044 Write a review Phone Website Directions