Yeah, my home base is in Northwest Colorado, but the folks live down in Deming, NM so I am back and forth frequently. Being retired frees me up to travel when I want (pending permission from wife!). As far as the meet locations, it will depend on when you are going to be in a particular area. Once you get the NM portion of your ride more or less figured out, we can set up a meet location.
Travel suggestion: Silver City to Gila Cliff Dwellings via Highway 15. This route is nothing but twisty road all the way. Gas up before leaving Silver. MIGHT be able to get fuel at Doc Cambells trading post near Dwellings, not sure now. On way back, turn east on Hwy 35. This will take you past Lake Roberts, MIGHT be fuel at the store. Continue on east towards Hwy 152. Just short of the intersection there used to be a big store/cafe that sold gas. Out of business on my last motorcycle ride by there, but it looked like it was under renovation on a recent non-motorcycle trip. Tiny store in Mimbres, NM used to sell gas too, but not sure now. A lot of these old "Ma and Pa" stations have gone under. Hwy 152 east will take you to I-25 and about 2o miles south of T or C, NM.
In short, you are in the wilds of NM! I now take a gallon gas can with me just to make the ride more enjoyable and not have to worry about running out of fuel. Gas up on that stretch whenever you find a station open! You can always discard the cheap fuel container later when you hit civilization again. This route is well worth the trouble when on a motorcycle.