I have used all the roads discussed by the others. We drove NM 26/27 from Hatch to Hillsboro, then NM 152 to Silver City last year, but just in the truck. But we have towed our trailers over NM 26 numerous times as a cutoff between Deming and Hatch. It is a very good highway, as is U.S. 180.
Having driven all of 152 in a car, I would never take my fifth wheel on it, especially between Caballo and Hillsboro. As others have said, it's a fun, scenic drive in a small vehicle, but very slow and very long in anything big.
"Retirement is the best job I ever had!"
2015 RAM 2500 4x4 crewcab 6.7L CTD; 2016 Rockwood Signature UltraLite 5th wheel