It’s pretty unlikely to receive a full ride from the U of M, as it is from many state schools.
Our stats are very similar. I received the Gold Scholar Award and National Merit University of Minnesota Scholarship. Together, these cover a little over 75% of (reciprocity/in-state) tuition. Of course, there’s still room and board and other fees to pay for.
https://admissions.tc.umn.edu/costsaid/schol_campus.html
The best way to increase your chances of receiving merit-based scholarships at the U is becoming a National Merit Finalist. The U is very proud of the number of NMF it draws – I believe 150 for the incoming freshman class.
I didn’t receive any need-based financial aid and don’t have too much information about it. I can tell you that there are many campus jobs reserved for people who qualify for work study. Minimum wage in Minnesota is $9.50/hour and many campus jobs pay more than this.