Unfortunately you’ve made a lot of assumptions and it doesn’t help your case.
Your main issue is that you have limited funds. You are exactly in the same position as the universities. A number of American universities are losing government funding. They have to limit their budgets.
1.). You are assuming that they will cover your full need. Their definition of need will be different than yours. Budgets are finite.
They have a limited little pool of money and they try to stretch it by dividing it amongst bigger numbers of students. Students can either afford to go, with the limited funding given, or they move on.
2.). As mentioned previously, with a student visa you cannot earn enough money to pay your tuition. The student visa allows you to work at a campus job for 20 hours. Those jobs pay minimum wage.
Most schools don’t recommend the full 20 hours if you want to achieve good grades. Our daughter worked 10 hours a week just for pocket money. Consider that you’ll probably earn $200 to $300 a month, if that. That will just cover your toiletries and essentials for the month. The US is very expensive. Earning $3000 a year at most won’t help pay that tuition of $75k per year.
Add and consider universities closer to you or in your country that are less expensive.
Remember that the US universities will educate you but you are expected to return to your home country after you graduate. There are no guarantees that you can stay longer. That’s a US immigration issue.