Something to check out when considering dance minors is the rigor of the program. Our D was in nearly your same situation except for her intended major. She visited Case Western and went to a dance class required for the minor. It was far too basic for her. She asked if they would audition so she could take more advanced classes and they said “no”. Though she liked the university it was a deal breaker for her and she never applied. I’m sure other schools handle it differently, however, don’t assume that you will be dancing at the level you’re accustomed to.
What is your goal with Biomedical Engineering? Is it to be a Biomedical Engineer? Is it to have an Engineering degree backup in case medical school doesn’t work out? I ask because the general consensus is that if you wish to be an engineer there may be other areas of engineering such as mechanical or electrical that will make you more employable after an undergraduate degree and would segue nicely into a masters or PHd in Biomedical Engineering. If it’s to have a backup to a medical degree then the same applies. Chemical Engineering requires most of the chemistry and physics required but you will need to pick up the biology, anatomy/physiology and psychology courses.
Good luck.