82 through Cloudcroft involves a tunnel or two and some decent grades. Some folks opt for 380/70 through Ruidoso, instead (as I would with my fifth wheel). Unless you want to end up as far north as San Antonio, you're still fine on 70 from Alamogordo to Las Cruces. You may be a bit slow going up Organ Pass, but lots of folks do it all the time.
Rob (native southern New Mexican)
U.S. Army retired
2020 Solitude 310GK-R
MORryde IS, disc brakes, solar, DP windows
(Previously in a Reflection 337RLS)
2012 F350 CC DRW Lariat 6.7
Full-time since 8/2015