Carry your own food and enough batteries to last to the destination. Or have a hot swap battery bot like a military jet re-fueler. No stopping at all!
In all seriousness, I'm not saying there won't be stop offs and rest stops (because really, who wants to be in a moving box for 3 days), but in terms of feasibility I can definitely theorize a situation where stopping is no longer necessary.
I just finished a road trip and man, would an auto-RV have been amazing. Instead of only catching ~50% of the view because I was the driver, I could take it all in and interact with my lady at the same time vs focused on driving. Growing up I thought RVs were crazy awful - but now I look forward to my auto-RV at age 75 driving my old ass around the country.