There are two different issues here, but are a bit hard to separate.
1) the scalping, making it almost impossible for people to buy tickets at face value, and driving the price through the roof
2) the upscaling of the face value price due to the high demand (in partial, I'm sure, because of the amount of tickets bought by scalpers)
Producers are claiming the reason for the high ticket prices, especially premiums, are the scalpers, as the argue the money better go to the producers than to scalpers. That's fair enough. But I think the government should really resolve the problem of scalping to begin with. It should simply be illegal to re-sell tickets for a multitude of the face value. The money should go to the show, and only the show (or concert or sporting event or whatever). Reselling single tickets or pairs for face-value if you can't make it is a different story.
In a world without (large-scale) scalpers the prices might look different already.
The issue of face value the comes down to demand of course, and I have no problem with a popular show being a bit more expensive than a less popular show. But I also think that it should be in the interest of the producers to not make a show an elite-club for the privileged. Yes, this is entirely a moral argument. But for example, what I've seen some shows do, is just raise the price of orchestra and front mezz tickets, while still selling the rear mezz/balcony or sides for under $50. Fiddler and Curious Incident are two shows that come to mind that do this. Cursed Child in London is another one. The cheapest seats are 35 pounds. They'll still make a ton of money and make a ton of money for all their investors, while making sure that even people on a budget can see it. The only incentive being that they want to give everyone the opportunity to see it. Because they can afford to do so.
So what I'm saying is that what saddens me is that Hamilton seems to not care very much about anything but making the most possible amount of money at this point. There isn't much that I can do about is besides not buying a tickets for those prices, and expressing my feelings on the matter, in the hopes that, if enough people do the same, they will listen.
Over and out, have to go back to work to earn the money to see all the others this season!