Your rig would need to be well insulated for cold temperatures. In late October you will likely have temperatures well below freezing (in the 20s) every night on the north rim. In our case, poor battery performance in very cold weather and running on solar power alone while dry camping would make this a challenging experience. The south rim is 1,000 feet lower in elevation and might be more pleasant weather-wise, especially if you can get into the full hookup Trailer Village.

I camped at the South Rim in late October last year. It was fantastic and not busy at all.

According to the nps.gov website the North Rim closes Oct. 15 but the South Rim is open all year. Of course nothing is open right now. It took us all day to go from the South Rim to the North Rim on the eastern side with a few stops in between in Sept. I don't think it's possible to do the western route, especially doing the walkway on the same day. Try Google maps and put in your destinations to make choices for driving. We prefer not to drive more than 6 hours a day, but we are old!