The U of MN will be great for you, but it is a huge school with large class sizes.
We are from MN, and my S’s stats were very similar to yours. He, too, was a trap shooter finishing high at State. He was interested in Computer Science.
We toured the country, and he ended up selecting Trinity University in San Antonio, Texas. 2500 kids, second to Rice in academic rankings in Texas, very generous merit aid to help out your folks, and they have undergraduate engineering in a brand new $231M integrated science building that is gorgeous.
They have a shooting team, too, if you want to continue that sport in college. They are D3 athletics, men’s baseball just won the D3 world series last year, good D3 sports. Swim team, orchestra, etc., if you want to continue those activities.
Campus is beautiful, about 10 minutes north of downtown San Antonio. Many dorms overlook the downtown, all dorms have balconies.
Have you toured Rose-Hulman? Terrific school, but it is almost a work atmosphere. Almost no fun extra-curricular activities at all. Everyone working hard trying to get a great job–which they will! 
They just are not going to have much fun along the way. I would HIGHLY recommend you visit RHIT before enrolling, especially as female, with skewed M/F ratio in play. It is not like any other school on your prospective list.
Back to Trinity, Delta flies 3 non-stops a day from MSP airport, and airfares are reasonable.
Our S is loving Trinity. He has 7 kids in one of his sophomore CS classes on Cyber Security, taught by the head of the department. NO TA’s teach ANY classes there, all Professors.
And he loves the weather. We are never getting him back to Minnesota after 4 years in San Antonio.
Good luck!