I know I am not the first to propose this idea, but I would be in favor of keeping the "lottery" distribution but reversing the tiers. In such an auction, everyone would first sign up for the highest tier that they were willing to pay.
First the $390 tickets would be distributed, and if there were any losers of the $390 lottery, they would be added to the $320 pool. Then the $320 tickets would be distributed, and all losers are added to the $240 pool.
People willing to pay $390 still have the best chances at getting a ticket while the person who can only pay $240 will have better chances of winning then in the current system, since this person is competing with 25,000 less people who were already awarded tickets.
On the other hand, all of this depends on *why* there are tiers in the first place. If the tiers exist solely to reward early buyers, then the current system is optimal. If the tiers exist solely to help people who cannot pay the average ticket price, then the distribution order should be reversed. This is the part I don't understand - the philosophy behind the existence of the tiers is unclear to me and I have seen conflicting explanations from various sources.