I understand the OP’s question. The family has already allocated much of its income to what are viewed as necessities or high priorities, leaving not enough discretionary income for BS. Realistically, few families have $60,000 “left over”.
But OP, the answers are also on target. Your family will need to reprioritize and consider what matters most. Is it caring for elderly parents, living close to those high paying jobs, saving for college and retirement, having late model cars, taking vacations, supporting a sibling with special needs, membership at a club, etc.
Some families live in school districts with high taxes and excellent public schools, making that an option… If the LPS is a bad fit - and sometimes it is, even in a prestigious district - is moving to a cheaper district worth it to lower housing costs and taxes? I’ve known people to do this, but it also assumes that they are indifferent to location. This is really about choices. It may be better to pay for BS and let college chips fall where they may --again, I have known families who have chosen this…
But do this with your eyes wide open.
Overall, you are unlikely to make a good case for FA at that income level. Also remember that schools use their FA strategically. Would you be bringing something so unique to the community that they could not get it without subsidizing you?
I wish you luck .