Alcohol Treatment Centers Eddy County, NM Find local alcohol treatment centers in Eddy County, NM. Click on one of the areas listed below to locate alcohol detox facilities in New Mexico near you. Artesia Atoka Avalon Barber Crossing Black River Village Carlsbad Cole Place Dayton Espuela Four Forks Four Wells Frontier Post Hagerman Heights Harkey Crossing Harroun Crossing Hope Hunter Place Illinois Camp Knowles Place La Huerta Livingston Wheeler Loco Hills Lookout Crossing Loving Malaga Morningside Old Horner Place Otis Pierce Canyon Crossing Queen Red Bluff Riverside Ross Place San Jose Seven Rivers Three Forks West Carlsbad Whites City