Were you accepted to Cornell during the ED round? They are not going to ignore the house. Did you run the net price calculator and have a discussion as to how much they are willing to pay for you to go to college?
It does not matter that your family is AA. It does not matter that they are sending money to take care of relatives. Your parents made a choice to have a house in one place and work in another place. They are still first in line to pay for you to attend college. As others have stated colleges are not going to give you other parent”s money (where do you think funding for financial aid comes from—the generosity of other people’s parents who contribute to the school), so that they can fund a second home
If your parents are not willing to pay, you need an affordable option, which is your local college where you can live at home