Indian Wells is a census-designated place in Navajo County, Arizona, United States. Indian Wells Elementary School is located in the town, it serves 600 students. It is also the name of the local Navajo chapter of the Navajo Nation Council. Indian Wells is served by a post office with the ZIP code of 86031. The ZIP Code Tabulation Area for ZIP Code 86031 h…Indian Wells is a census-designated place in Navajo County, Arizona, United States. Indian Wells Elementary School is located in the town, it serves 600 students. It is also the name of the local Navajo chapter of the Navajo Nation Council. Indian Wells is served by a post office with the ZIP code of 86031. The ZIP Code Tabulation Area for ZIP Code 86031 had a population of 1,856 at the 2010 census, with 255 in Indian Wells itself.