Alcohol Treatment Centers Lea County, NM Find local alcohol treatment centers in Lea County, NM. Click on one of the areas listed below to locate alcohol detox facilities in New Mexico near you. Air Base City Andrews Place Arkansas Junction Baird Place Bennett Buckeye Caprock Cotton Place Crossroads Eunice Gladiola Halfway Hillburn City Hobbs Humble City Jal Jones City Knowles Lea Lovington Maljamar Maypens McDonald Medlin Place Monument Nadine Ochoa Oil Center Peveler Place Prairieview Tatum Warren