Please get clarification from parents. What they may be saying is they won’t pay $70,000 a year for some fancy private school. However if you go to a good college with a large merit scholarship and you only need about 15,000 a year, then they may pay that $15,000 a year.
Please sit down and family and politely and nicely tell them that you are flying to good schools where you can get very large ships but you will need help with room and board
They may also not understand that Student loans have changed and now undergrads can only borrow very small amounts each year