@facethetruth, How soon are your parents moving to NY? Is that definite? Check the residency requirements for Binghamton. It looks to me like you may be able to get in-state rates if you wait untilyour parents move to start college.
You *could[/] ask Binghamton to review your aid based on the medical costs, but any change probably wouldn’t be for much and it would likely only be for a year. I think if you start college as an OOS resident, you’ll be considered OOS for all 4 years.