“Half” of what is the question that you need answered. I.e. half of Northeastern’s cost, or half of Rutgers’ cost? And without parent loans or parent-cosigned student loans?
Your parents’ vagueness is not doing you any favors. You do not want to go to a school and then have to drop out because your parents run out of money (and have no money to help you finish even if you transfer to a less expensive school). However, you also do not want to overly limit your choices if your parents are comfortably able (without parental loans) and willing to pay for more choices than you assume they will.