For the past 8 years I've traveled from Jackson Center OH to Casa Grande AZ, usually in early November. I have made the trip as late as the first week of December. Weather patterns change, and I've had to do the white knuckle drive with ice on the roads, which is why I choose early November.
1 - monitor accuweather or Weather Underground. WU has a road trip planner which will show you what the weather is likely to be at each point on your drive.
2 - know that if there is any rain or snow, bridges and culverts will have black ice on the them, particularly once the sun sets.
3 - drive only during daylight hours - it reduces the ice and moose or elk will not be standing on the highway.
4 - even if the route is longer, plan to head south right at the beginning (to I-10) and then head west.
1987 Excella 32-foot
1999 Dodge Ram 2500HD Diesel