<p>
I wouldn’t assume a state school is the least expensive option. Many private schools require ~$0 parental contribution in your situation. For example, Stanford gives a full ride including full tuition, room & board, and books for students whose parents make under $60k/year (non-international + cannot have large enough savings to afford school). Instead they require the student to have a part time job to earn ~$5k/yr. The job is often at the school and relevant work experience to your field. You might try some net price calculators of other schools that are known for need based aid to confirm details.</p>