It gets t the age-old question if the name or ranking of the school really matters. I think it does. For myself, having the Harvard Med name on my resume helped me get into very competitive fellowships. Only 5-10% of doctors in my field are female. On the other hand, my clasmates at my rural Midwestern public high school were still the smartest people I have met, and that was still the most competition I have faced academically. It will be interesting to see if the name brand of the Ivies still hold p when the cost per year goes beyond $100,000.
You are confusing undergrad (which you should get paid for above a certain level of intelligence) with grad school (which you will have to shell out $$$ for).
Even I'm not arguing that you shouldn't go to Harvard for med school (or law school) and pay a ton of money to do it. If I had the opportunity to go to Harvard for grad school in either medicine or law, I would have done it for the reasons that you state in your response.