So $1,300 at UIUC versus about $45,000 ($70,000 list price minus $25,000 scholarship) at Michigan.
Unless $43,700 times 4 (or $174,800) is a fairly trivial amount to your family finances, it would be hard to choose Michigan.
UIUC students could study neuroscience as an Independent Program of Study: Undergraduates & Neuroscience | Neuroscience Program at Illinois