The University of Nebraska - Lincoln has a series of scholarships aimed at out-of-state students. Based on ACT or SAT scores and Class Rank, students can earn a scholarship that covers a % of the difference between in-state and out-of-state tuition, up to and including 100% of the difference.
UNL Admissions | Out-of-state Freshman Scholarships
There is also the Midwest Student Exchange Program for students in Kansas, Michigan, Minnesota, Missouri, Nebraska, North Dakota, and Wisconsin.
The program will pay 150% of in-state tuition plus any required fees for an OOS student to attend a participating institution
MSEP Home Page