My friend,When I started reading this I first thought you were kidding. From Minnesota to Arizona - in January !? I live in Colorado but I kinda track the weather in the surrounding states. Not being sure of your intended route my advice is to find another method or another time frame to make the trip. The weather around here will change in hours -not days.Highways will shut down and if you are in the middle of "the gates" you are stuck. I have had opportunity to do triage on folks that did not take this seriously. Just on a short trip these folks were not even close to being prepared for the winter around here.
Think long and hard about your plans for this..