Consider I-10 to Las Cruces, then I-25 to Denver. I-40 and I-70 can both be brutal in the winter.
I-10 seldom gets blocked by snow, but if it does, you might have to wait a day or two.
The only snow problem on I-25 is Raton pass, but if it's closed you just wait a day or two in Raton NM.
Leave some slack days in your schedule (leave at the beginning of November) so that if you have to lay over somewhere along the way because of snow, you just wait a few days here or there.
Don't let the calendar push you to attempt to get through bad weather.