Apparently you’re referring to state-supported schools, not private ones? Although state universities generally do have lower tuition than private colleges, since they are funded in large part by state taxes they do have a legal obligation to charge less for in-state residents. The in-state vs. out-of-state tuition rates vary by state and university, of course, but I don’t know of any that charge different rates for other-state vs. non-US residents. Room, board, books, fees, etc. are generally all at the same rate.
Scholarships and government loans are the other side of the equation, and make up a large part of the funding that any student must provide to cover the costs of her education. The total cost can be eye-popping, upwards of $40.000/year at many schools, but only a minority actually pay that (This is America - only a sucker pays full retail ). These various funding sources are generally harder to come by for non-residents, so if you can’t do as well at home, your bottom line will be higher. College costs have been rising at substantially more than the cost of living for several decades now, with the excess in many cases simply going into the endowment fund instead of actual improvements in education or assistance to students.
I’ve seen various stories about growing numbers of US students who find themselves unable to cover the costs of a US university, even a state one, going to Canada instead. Are you sure you want to come down here?