the route you're choosing from Safford to Lordsburg is a good one--undulating highways with good shoulders along the foothills at 3000-4000' elevations....there's a good coffee shop/bakery in Duncan, AZ to refuel at....not much in the way of camping possibilities right off the highways or even motels to stay at until you get to Lordsburg, but at least you'll be at lower elevation (for renegade camping)....
Looks like the cold weather will persist in the SW until next wk, then temps soar into the 50s....it's been cold in Silver City overnight (teens this morning), but as you say no precip is in store there for a while (at least according to the longer-range forecasts)....
Again, watch for icy spots on the roads where snow has melted then refrozen....
There is nothing
than a bicyclist
on the open road
seldom seen scheese