In West Texas, you can expect nights in the 30's, low 30's at higher elevations (yes, Texas has high elevations). November is usually pleasant in most of the state, days in the 60-80 range, nights in the 50-60 range, with some in the 40's. We sometimes have colder days and nights and, November can be a wet month, especially east of I-35.
December tends to be cooler, January and February the coldest months. Its good riding weather if not raining.