We go to AZ for the Winter and have taken a couple of routes that some have already mentioned. What we do is watch the weather.
Our home base being Reno I-580/395 are only 1/2 mile from us so easy access. We have made the trip South many times and it is good road. Winter can be on this route also especially when going through the Mammoth Lake area snow is a very good possibility. This route will get you to see the Alabama Hills near Lone Pine and there is a nice CG there. Then continue down 395 to CA14 to Edwards.
Another way we go (picking a good weather day)is I-80 over the hill (once over you are warm the rest of the way) into CA then either 99 or I-5 South to Bakersfield then 58 to 14 over to Edwards AFB.
Safe travels.