I'll voice another (maybe) unpopular opinion here, and say I would personally pick Stanford. Yes, of course, the debt is something you should think about -- and maybe having not struggled with money I have the luxury of not having felt what that's like.
But I think it's important to pick the place in which you'll be happier. If Stanford is your dream school, and after visiting that dream was only confirmed, go there. Might you be saddled with ~$250-300,000 worth of debt? Sure, but as a physician, you'll make enough to pay it off eventually. You'll be making payments per month, and while that may detract from some lifestyle you imagined for a bit, in the end it will be paid off.
Plus, you'll be used to living frugally after residency and medical school, so the change -- that is, having to limit extra expenses because of the monthly debt payments -- shouldn't be too bad.
Go to your dream school! Stanford is amazing, and if I were in your position, I would not hesitate to go there. Your happiness supersedes almost all other considerations: debt is another bill you'll have to pay, but it'll eventually go away. If you think you'll be happier at Stanford, go there!