Madrone, New MexicoMadrone is a census-designated place in Valencia County, New Mexico, United States. Its population was 707 as of the 2010 census. New Mexico State Road 304 passes through the community.GeographyAccording to the U.S. Census Bureau, the community has an area of, all land.EducationIts school district is Belén Consolidated Schools. Belén High School is the district's comprehensive high school.