By applying to schools that are likely to offer you merit scholarships or need-based aid, instead of just the highest-ranked engineering programs out there. Your in-state public universities are probably affordable with institutional aid, state aid and federal aid. Which state are you a resident of?
That’s the amount of federal Stafford loans available to a first-year student. FAFSA provides aid mostly in the form of loans and work-study awards. Grants are rare and only given to low-income applicants.