" If you can show the potential to get into a top law school (high GPA and high LSAT) your parent’s may change their minds."
I was thinking the same thing.
I know a few lawyers who majored in engineering or CS, then went to law school. They specialize in aspects of law that are related to engineering or CS. I have to think that there are lawyers who specialize in aspects of law that are related to medicine.
Of course this would require that you maintain a high GPA in very tough classes, but that is true for medical school also.