I think we need to get the support of some of the big baalei tzedakah – Rechnitz, Herzka, and others. With their backing, a program like this can be implemented
They give a lot of money to tzedaka, including yeshivos, already.
The generosity of people like them is one of the reasons tuition in the types of schools they support is much lower than the tuition in the types of schools you refer to in Central Jersey.
I don’t see how restructuring the system to raise base tuition and move tzedakah funds to subsidize it will solve the tuition crisis. For that, you either need to raise total income for the schools, or lower costs. Shuffling around the same money isn’t a solution.