In the Las Cruces area I don't think we've had snow for about the last 2 years or so, and, when we do get it, it melts the same day. If you're set on NM & for what you're describing, I'd suggest the North or South Valley's by LC. Our weather is very mild in the winter, and the summers are hot, hot, hot! These areas use the Rio Grande for irrigation, they're both close to major freeways (I10 & I25), both major hospitals can be accessed via these freeways, it's definitely horse country, very beautiful w/ lush pecan orchards and green & red chile fields, but these two areas are expensive. For instance, in Mesquite (about 10 miles south of LC AKA the South Valley) there are 5 acre tracts being sold for $275K. These 5 acre tracts have phone, electric, community water, natural gas, you'll need to install a septic, spectacular views of our Organ Mountains, site-built only, they're right off highway 478, which easily connects to I10. Few folks are selling much larger tracts, but you'd be looking at around $400k on up. Well, those are my 2 centavos.
