Red Lake   Be the first to submit input for Red Lake. If you have info on Red Lake, Socorro County, New Mexico please submit it here to improve this web site.          These outdoors activities are available near Red Lake.   Public Lands Near Red Lake: Cibola National Forest, New Mexico, 14 miles away El Malpais National Monument, Grants - NM, 39 miles away El Morro National Monument, Ramah - NM, 69 miles away   Hotels Near Red Lake: Super 8 Grants, Grants, 37 miles away Grants Travelodge, Grants, 37 miles away Holiday Inn Express Hotel & Suites GRANTS - MILAN, Grants, 37 miles away Best Western Inn & Suites, Grants, 37 miles away Quality Inn & Suites Grants, Grants, 37 miles away