2150 Hwy 54 S. Alamogordo, NM 88310 (575) 443-8133 Fax: (575) 443-8055 About The Alamogordo Ben Archer Health Center (BAHC) site was established in 2000. Primary care service area for the BAHC in Alamogordo includes all communities in Otero County. Alamogordo and Tularosa are the larger population centers in Otero County..