Sarazen/Muirhead Course at Chamisa Hills Country Club is a 27-hole private golf course in Rio Rancho, New Mexico, built in 1971 and designed by Gene Sarazen & Desmond Muirhead. It sits in the $$ (moderate) price range for golf in New Mexico. The course is open all year.
Details like fees and seasons change, so call the course before you head out.