I think you are looking at this from the wrong point of view. Stats are stats and can be made to show what we want them to show. I can probably find a ranking out there that has Darden above Stanford. I think there are keys things to decide on (And I tried to rank them in importance)
1. Any short term impacts, like is taking loans a negative for you in any which way except having 100K in debt. Or as someone else said any thing that keeps you to a closer area.
2. Which school is best for what you want do? If you want to do banking or consulting you can get into it from both, but what company? Darden probably has more alum's at a different set of companies then Stanford. Also in the long run which school will help you end up where you want to be (Location, alum's at dream companies or similar positions at similar company's)
3. Location. I have visited both schools and both locations are nice, but very different. You are going to spend at least 2 years in the area make sure you are happy.
We are all applying to top tier schools for our MBA. going to one school over another is not going to have the biggest impact on our lives. If you are able to get into one school know, nothing is preventing you from ending up in the same successful career in the future.
The way I look at it, $100000 - $200000 is an investment in ourselves. Sure it would be nice to not have to make that investment and have the schools pay for it, but it is an investment. It is one we committed to before even starting the journey. The decision should not be made based on money alone but based on your future and what will be the best way to get there.
I know what I would do had I have to choose between the 2 schools, but my decision is based on a different set of view points then yours would be.
There are many paths to where we want to go, the decision is to take the path that will make you the happiest. Good luck with your decision.