Red Lake   Be the first to submit input for Red Lake. If you have info on Red Lake, Chaves 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: Bottomless Lakes State Park, New Mexico, 22 miles away Carlsbad Caverns National Park, Carlsbad - NM, 60 miles away   Hotels Near Red Lake: La Quinta Inn & Suites Roswell, Roswell, 35 miles away Fairfield Inn & Suites Roswell, Roswell, 35 miles away Best Western El Rancho Palacio, Roswell, 35 miles away Days Inn Roswell, Roswell, 35 miles away Holiday Inn Express Hotel & Suites ROSWELL, Roswell, 35 miles away