I think there's a misconception about "prestigious research internships" and their effect on medical school admissions.
Here's the truth: they don't mean jack. It's just another research position. No one cares whether it's at Harvard or at Southern Arizona Methodist College. If you're productive and learn about the scientific process and how to critically evaluate your own and other people's research, you're great. A strong paper in a good journal from a no-name state school is infinitely better than jack **** from a "top" lab at MIT.
You're an undergraduate, get over yourself.