Charging a nominal fee to enter the raffle might. Like how all raffles work by definition.
Their primary problem was resellers - it's still a scramble when the ticket sale begins.
https://glastonburyfestivals.co.uk/wp-content/uploads/2019/0...
But perfect is the enemy of good, so if a price tag $10,000 meant some rich bought their way in and a good chunk of normal people got in anyway, that's effectively a tax on rich people, so I'm for it. (Of course, you'd spin it differently so rich people can pose as doing something for the environment and whatnot.)
Side benefit - when Congress is doing its annual budget fight, the National Parks Service can remind certain members that lots of donation-giving wealthy people care a lot about the National Parks.