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Southern New Mexico, maybe? Look into Silver City, Las Cruces (might be a hair over 75k), or Alamagordo. All of them have sunny weather -- SC is cooler than the desert locations but all 3 are at elevation. Nearby Cloudcroft and Ruidoso are mountain locations if you really want to escape the heat but be prepared for more snow there.
Be warned -- high paying jobs are not plentiful anywhere in the SW outside of major cities.
There are other towns in the Mogollon rim in Arizona other than Prescott you could also look into as well. Again -- few jobs, but nice places to live.
Look into Grand Junction, CO (city is under 75K but metro is around 120K or so) and Santa Fe, NM.
The Front Range of Colorado could be a good fit as well, there are smaller cities like Loveland that are set apart from Denver, but still close enough. The weather along the Front Range changes rapidly though. For example the highs this week were something like 60, 70, 30, 45, 55.
I see you said snow a few times a year is okay - how fine are you with the cold in general? In Bozeman, MT it might not snow an extreme amount during the winter, but it's cold enough that it sticks around (to my knowledge).
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