The thing to know is what you think is fair (new family, new siblings, new house, another mortgage) isn’t necessarily relevant, Your NCP still is your parent and on the hook for college contributions. Even if he or she has a new family. Do you know the assets and income information? Have you sat down and talked about budget? Rice is by the by really, as it is so competitive, it is the schools with likely admission you need to be able to afford.
Where are you instate?
What are your stats?