This might be answering a slightly different problem, but I remember there was talk before on whether the Tonys should include off Broadway productions. I would assume that part of the reason so many shows try to make it to Broadway is because then they get a shot at the Tony (and a televised performance) that they wouldn't otherwise, even if the size of the Broadway house swallows them up a bit. To add on to that, maybe there also just needs to be more smaller/mid-size theaters, since it seems like the biggest ones can't really sustain a long run unless the show has already been around for a while (ie Wicked and Lion King).
As for the financial model of Broadway, I wonder if a "season pass" kind of deal could be worth it. I know TodayTix is doing one for the West End, but their pricing honestly seems way higher than it would be to just get tickets regularly. Maybe something where people pay a "buy in" fee and then get access to cheaper seats in preferable locations (maybe side orchestra/side front mezz, or center orchestra for a higher tier if they still want center orchestra for premium pricing), a similar model to some off Broadway nonprofits. I suppose theoretically the Shuberts could do this since they own so many of the theaters on Broadway, but ideally this would be available for all Broadway shows.
Speaking of, Telecharge is just a terrible experience for consumers, both before and after the redesign in different ways. And a lot of people are still paying astronomical fees by booking through Broaway.com, so the impression of ticket prices may be higher than it is. While it's true that shows like Merrily have very few options for cheap tickets, it's not true across the board, but the main shows that people hear about are Merrily with the $300+ ticket prices, so I don't think they realize that tickets can be found for <$70 for many shows (the number of people praising How to Dance in Ohio for their $50 ticket initiative I think is proof of that).
For all the criticism that Ken Davenport gets, I think he does have some interesting ideas as far as marketing/getting word out about a show (whether or not it bears fruit can kind of be seen by the grosses) so I do appreciate him trying things. One thing I saw was him organizing bus trips for people in Jersey who wanted to see A Beautiful Noise but either didn't want to plan logistics or didn't have other people to go with, and I'm curious about how the response to that was from people who went on one of them, and if it really did make them more likely to get a ticket for something else in the future.