I would go south on 25, then turn west on 90, taking the smaller and smaller roads through Hillsboro, Mimbres, and ultimately to the Gila Cliff Dwellings National Monument. From there you can go south to Silver City via Pinos Altos. Back on 90 from Silver City, I'd head south on 61 to City of Rocks, then probably back to 25 for the trip north, considering that you have only one day to play. There's more further south, but this loop is a more reasonable distance for one day. Urban points of interest along the way are Silver City for its museums, Fort Bayard for wildlife and history, Pinos Altos for history and old architecture and Santa Rita for the extensive open pit copper mine.