Right now, I’m seeing a long list of rejections, and a strong likelihood that the school you get into is going to be out of your price range. Not every private school is generous with financial aid. You need more safeties than UIUC, especially for a program as ridiculously competitive as engineering. What you also really need to do is focus heavily on scholarships, not prestige. Try University of Alabama to start. Scholarships are more abundant in less populated areas like the south and southwest. “Less ranked” schools in your home state are a very good places to obtain merit aid.