I have the same concern as you to a lesser degree.....accepted to Purdue, USC (Astronautical), and Virginia Tech. Applied to masters program for Virginia Tech and they accepted me into PhD program with 5 years funding. However, I know Purdue is held in higher regard in the industry but they haven't talked funding yet. Still don't know what to do yet.
For your situation, I would tough it out with Stanford even if you go into debt because with a PhD there you will have no problem getting a job or professorship anywhere. You may be better of financially going to Minnesota or a lower ranked school that's better funding you, but you don't want to spend the next 2-5 years wondering what could have been if you went to Stanford.