Apply ED to Johns Hopkins or Case Western?

I have a 33 ACT (34 superscore) and 3.9 UW GPA. I want to study biomedical engineering. Because of my heavy involvement in orchestra and the LGBT community, Case has started to feel like the perfect school for me. However, I think my stats, my background (Latina, bisexual), and some of the programs I’ve done (PLTW biomed for 4 years, Washington Aerospace Scholar) might give me a shot for a more prestigious school such as JHU where I might get more opportunities and a more valuable degree. Obviously I would be ecstatic to go to either of these schools and very well might not get accepted. Should I stop worrying about more prestigious schools and focus on a place that I would really like to go? Or would I be throwing away my shot?