Your GPA is what will keep you out. It’s well below the 25th percentile.
Your rigor is also “light” relative to one of the top engineering schools in the country.
If you want UIUC, I hope you get it - but think of this up front - tuition, room and board - no books, fun, pizza, etc. is $62K. So how will you afford it?
Why apply anywhere you can’t afford? You’re not going to be able to get residency….or it will be near impossible.
You better check with the school on your parent’s plan - I don’t think it will get you residency.
Now, if you took a gap year, they bought a house and you all lived in it in the state and lived in it 12 months before starting school, then yes. Buying a house as you’re already there- I don’t see how that’s going to work. But you should ask before you make any decisions in that regard.