Western Kentucky University allows students from border states to pay in-state tuition rates: WKU Border State Scholarship Program | Western Kentucky University . Your daughter also would appear to qualify for various additional merit scholarships at WKU, here: First-Time Freshmen Scholarships | Western Kentucky University .
Some of the “directional” schools in Illinois allow out-of-state students to pay in-state rates. For those offering biochemistry as undergraduate majors, there is Southern Illinois University in Carbondale, here: Illinois Residency | Undergraduate Admissions | SIU, with merit scholarships, here: Incoming Freshmen | Undergraduate Academic Scholarships | SIU.
Eastern Illinois University also offers biochemistry as a major; border state students pay in-state tuition, here: Eastern Illinois University :: Office of Financial Aid - Cost of Attendance, and here is a link to automatic and competitive merit scholarships: Eastern Illinois University :: Scholarships - Highlighted Scholarships for New Freshmen