The Hamilton problem is short term. It has nothing to do with the show being done from the perspective of people of color. The high ticket prices are just because it happens to be the show of the decade (like Rent and A Chorus Line) where demand outstrips supply for the first few years. It will calm down, eventually. It already has in Chicago - I've seen it there twice and tickets aren't hard to get a few weeks in advance and at normal prices. I'll also note that the audiences there had a good mix of non-white faces.
The vast majority of shows can only dream of having "the Hamilton problem". Most of them have the "white stories for white people" problem.
I remember coming back home on the train from New York the week the original A Color Purple opened. I was sitting across from a black family of about 7 or 8 people that had gone specifically to see Purple the opening week. They sometimes saw shows in DC, but this was a very special deal. Reading between the lines, I would say that this was their stories being told by their people that made it a must see event.
I can relate. It reminded me of the emotional earthquake of seeing the character of Paul in A Chorus Line in the 70s - a gay male character on stage that was not a joke and was up there in all his humanity. Looking back I realize that I had never seen that before.
So, yeah - more diverse stories and writers and performers will help. And it's happening. Shows like Scotsboro Boys, In the Heights, and Hamilton have helped launch a new set of bankable performers that have come back leading other shows and concerts like Joshua Henry, Cynthia Erivo, Leslie Odom Jr., Jordan Donica, Renée Elise Goldsberry, Phillipa Soo, Daveed Diggs, Christopher Jackson, and Karen Olivo. People are now writing for these actors as well as putting them into roles that were previously cast as white.
But it's still the writers that I am most concerned about. We need more non-white and female writers and the stories that they can tell.