"hoping to get a lot of money from outside scholarships and from other sources of aid"
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Not sure what that means. You won't get any financial aid at UCLA or UIUC. Unless you can afford $50K per year you should look at other schools.
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Erin's dad is right...UCLA and UIUC will not give you aid. They don't give OOS students aid, because they can barely give aid to their in-state students. Are you aware of that? (A good rule of thumb is that OOS publics can't meet the need of OOS students...However, there are some OOS publics (lower ranked) that give high stat OOS students merit money.)
I know that you have the one safety that you mentioned with a tuition scholly. However, if you don't want to go there (which is what I'm picking up from your post - but maybe I'm wrong)....I think you should pick another safety.