I’d just wait out any snow. We found that the fast drivers were the locals and many tourists. Traffic was light so they could pass as desired. Rocks from passing or oncoming traffic are another concern. Oncoming truckers generally moved as far right as possible because they didn’t want your rocks. Fuel is usually available but if you get it at the smaller locations expect to pay more and maybe a lot more. The general advice is to not go below 1/2 full which would be 150 miles. Consider carrying 15 additional gallons. If you have an unmounted spare carry it and let the tow truck change the tire. Without it the time and cost will go up.
