Earlier quoted context omitted.
Another way would be to charge a modest lottery entrance fee and limit the number of winners to a sensible quota.
Rationing is not a very fair way to distribute goods or services to people. Some people may value it just enough to pay the entry fee, while others might value it a lot more, but now they have the same chances of receiving it. If you prohibit people from on-selling their tickets, then you also causes losses when people change their minds but are already locked in by the lottery.
In the real world, market prices for this kind of thing simply select for rich people, not for who values the experience the most.