Do med schools look at your overall GPA or just the GPA of pre-req courses such as biology, chemistry and physics?
Because if they look at the overall GPA, your GPA will be much lower than people majoring in science which will hurt you when you apply for med school. Engineering has a much lower average GPA than science. I’d go for College of Engineering if I were you for the added flexibility, but I don’t think majoring in bioengineering would help you for med school as you would have a lower GPA and med schools heavily weigh GPA when it comes to admissions.
Stanford I heard you can basically transfer into anything so if you go in as a science major, you can directly transfer to engineering, and Stanford doesn’t admit by major so that is a good option for you.