Assuming you are admitted which appears very likely, you may be offered a scholarship that covers the OOS portion of tuition, because you are in the top 10% of your class. If you are a National Merit Finalist, you could be offered the biggest OOS scholarship that pays another $10,000 toward tuition, because that has a preference for NMF. The university also has lots of smaller scholarships, and the various colleges and majors also have scholarships, so it is possible that you could be offered multiple scholarships if you are very competitive among other applicants.
Your challenge is that you are applying to the most competitive college at the university. Plan on applying for financial aid, and consider working part-time if needed. Lots of students at the University of Minnesota hold part-time jobs, often in labs on campus doing things related to their major.