Why's that? I've seen hotels in Spain with dedicated Tesla parking/charging stations. Gas stations will be retrofitted with charging/swapping options. Tesla/other may partner with other businesses to install charging stations on the street.
Cars will leave while you're hiking to recharge. National Parks may well install charging stations and have regular, automated shuttles running the most popular routes.
Plus you're talking about a very specific case to suggest this being an issue for "large portions of America".
just command the car to go on its own and charge at the nearest charging station while you're enjoying the trail :) This is just one illustration how two tech advancements - self-driving and EV - happening simultaneously would help each other and would result in practical revolution.
It's not going to get any less solved over time.
People will own cars individually for the same reason that people own horses now - they enable a specific kind of activity, or a native appreciation for the object in itself. Certainly motorsport is not going to die any time soon.
What percentage of automobiles are used for touring and racing? I'd guess it's around 3% looking at my state's DMV figures, but form your own opinions I suppose. (A good proxy: Motorcycles are owned largely by the kind of people I'd expect would continue to own cars - 140k out of 4.2 million registrations in my state)
There's about 1 non-passenger-vehicle for every 4 people. I'd guess we see vehicle ownership and registration by private citizens drop to about that number - so 50% reduction total.