Do you want to stay close to home?
If not, some suggestions for a good string school at a good school for premeds:
Rice University in Texas and the Shepherd School of Music
Case Western Reserve University - their music department has what is essentially a joint program with the Cleveland Institute of Music
Ohio State University
University of Iowa
I think Yale has a good music department
Indiana University
Those are just a few. I don't know too many in the Nebraska area. If you go to a respectable college that prepares you well for the MCAT, get some quality letters of rec, and have a good resume, you'll get into medical school. As much as some people who go to the Harvards and the MITs would like to think the name makes a HUGE difference, it's certainly not a requirement for acceptance to medical school. But if you are willing to go to school further from home and would like a strong university with a strong string program, you might look into some of the ones I listed above.