I'd say New Mexico would be a place to start. I've always liked Red River, it's been a family resort for 70 years. To drive up there, you go through a lot of nothing, but then also drive through the beautiful Cimmaron Canyon.
Haven't been to Angel Fire in years, either. It's a nice mountain, but tends to get less snow than Red River.
Sipapu is a old, a little primitive ski area in a pretty place. Not much to do there, but not terribly far from Taos.
Ruidoso is a favorite of West Texans, I really haven't been there in years.
Santa Fe has a nice ski area, but it's about 12 miles from downtown. Though there is plenty to do in town. Not exactly cheap, though.
Albuquerque might not be bad. Since it's not strictly a ski resort, prices might be reasonable. To get to the ski area, though, you have to take the tram (not cheap) or drive around to the other side of Sandia Peak, about 10-12 miles. Lots else to do in ABQ, too.
Worst part of going to ABQ will be if there is a snowstorm on the high plains (7000" feet) between Santa Rosa and Tijeras Pass. One inch of snow and a north wind and I-40 gets shut down.
If you have questions about any of them, I'll try to answer.