Well, it depends on how much time you will have, and if you are going straight through. And, if you are okay with steep grades.
For simple weather consideration, going south through Albuquerque gives you the least chance of snow on the roads, generally speaking. I have hit snow on the Denver-Vegas I-70 corridor both in Colorado, and in Utah in the Grand Staircase-to-St. George region. The I-40 route, you could hit snow in the canyon between Las Vegas, NM and Santa Fe, and again in a bit of Arizona.
I-70 has more steep grades than the south route. The I-40 route will take about 4-5 hours longer.
If you are doing the drive in two days, if you overnight around Green River, UT, you should be fine for overnight temps, as that is a little warmer than east or west in Utah.
Your choice, depending on your preferences, and the whims of the weather patterns. You are more likely to have dry roads the entire way on either route, than snow, unless you are going the end of November.