It's be interesting to look at visitor data for parks that went from free to paid (if they even collected such data years ago) and see if charging for parks and the business around them has actually made them more crowded.
Personally, I don't think there should be a fee for entering a National Park. It should be paid for by our taxes. Just skim off a tiny bit from those billions used for defence and parks could be fully funded for years.
On the one hand national parks are usually national parks for a reason. They're often at least somewhat unique compared to other areas. It's also often possible to avoid the worst of the crowds.
That said, in a lot of the country there are often wilderness areas/national forests nearby national parks that have a lot of the same natural beauty with a fraction of the people. They may not have the singular attraction(s) that define the national park but they still have a lot going for them.
Charging more to cap visitors shouldn't even be on the table.
Those are the options you have to pick. Given those are the options, number 1 seems pretty darn appealing.
Ouch. The rich have enough playgrounds already.
2. Lottery or capped reservations.
Zion is just nuts at the moment. It's awesome to see everyone out and about enjoying nature but the amount of people are just overwhelming to the senses. (The park itself seems to be holding up fairly well)
5. Carefully exploit the resources for a few more trails and opportunities.
6. Foreign tourists could be charged a greater amount.
I visited Gatineau Park (just north of Ottawa) this way. I think the bus was free. It also meant we didn't need to plan a round-trip hike.
In the peak season there can be a multi hour wait and the nearby town is also constrained by the canyon and there is no more places to put in parking lots.
I don't really think there is an option besides limiting daily visitors.
These are National Parks, not state parks. Locals don't pay for them, we all do.
For example, the British Museum is free, but the donation box when leaving points out that its paid for by taxes. I've seen international tourists making significant donations (e.g. £30+ for a family) recognising what visiting a similar museum would cost in their own country. But I like that a student from a low-income country can still visit the museum, and I'm happy for taxes to cover the cost.
I'm not sure how getting rid of the fee would decrease crowds. The fee system is one of the best incentives to keep the parks in their natural state, rather than, say, building luxury condos and golf courses on top of them. If that's the alternative I'm happy paying the park entrance fee.
Unless those fees are invested into things that draw in more people. "Improvements" like new roads, better amenities and advertising means more people. US parks are great, but many of them have moved away from wilderness. They are too easy to access. They have too many roads. They would do better without the money.
No they wouldn't. What about park rangers? What about forest fires? What about keeping wildlife and humans safe from one another?
Go to a few Canadian parks. See what wilderness actually looks like. There is no ranger or fence between you and the bears. Rangers are there to protect nature from humans, not make wild areas more accessible for tourists.
A Parks Canada Discovery pass costs $67 CDN and is equivalent to the $80 USD America the Beautiful pass in the states.
Many parts of Banff, Jasper, and Garibaldi National Parks are quite manicured, with plenty of fences and visitor trails.
There are 30 million people in California. There are 30 million people in Canada. If all of Canada's people lived in Alberta then visiting the core of Banff would be like visiting the core of Yosemite. Very, very crowded.
The purpose of encouraging people to visit national parks via advertising is to get people to connect with nature and want to preserve it. There's tons of unpopulated parkland in the US but the very touristy areas are busy because that's the design. Concentrate visitors here, let them see some mountains safely, don't disturb too many animals by letting people just roam around in ATVs.
(I was about 20 miles from a road in the biggest snow year since the 80s, but still.)
As to daytrips, and as mentioned above, try out non-NP wilderness areas. Since this is HN, consider emmigrant wilderness rather than yosemite—as example.
My wife commented that, although the Yosemite visitor center is beautiful, it feels almost like a tourist trap considering how beautiful and devoid of people the rest of the park is.