Some states give non-citizen students, including those registered under DACA, instate tuition rates and the ability to qualify for STATE aid. Other states do not and I don’t know of any that give state aid to out of state students. None of the federal aid programs are available to undocumented students. DACA doesn’t change that.
Private schools can do anything they want with their own money. A private school might give you a scholarship, but many do expect a student to contribute through taking out loans (not available to you) or federal work study (also not available). Many private scholarships do require citizenship.
Honestly, embrace being a cornhusker.