You’re unlikely to get a merit scholarship at a prestigious school. The best bet would be to rely on need-based aid…but at your income, you’re not going to get much either. A 30k to 40k budget isn’t that much. That would cover tuition, books, and room & board for UIUC, with a little left over.
Scholarships are abundant, but there’s a trade-off. The idea of a scholarship is to attract top students that might otherwise go to a “t50.” I do know that your stats would easily get you a full tuition scholarship at Baylor, TCU, and SMU, or even possibly a full ride.