I got the impression that UNE was more receptive to out of state students of the two schools you are considering. However, I think they clearly give preference to NE residents, so as you already know apply to a wide range of schools. Sometimes you might be surprised who you hear from. Specific to UNE, however, check out all their course requirements. I made the mistake of applying there just before they made a class I hadn't taken (maybe biochemistry? I don't remember for sure) a requirement. Good luck to a fellow Illinois resident!