First of all, congrats! This is a tough decision indeed. Besides the money factor, if the main reason you'll be going to Booth is that it is stronger in finance, remember that things also change when you get to b-school. Unless you are 100% committed to PE no matter what (and perhaps even then), you may decide that you want to do something else after your MBA. Especially at a place like Haas, with Stanford next door and the whole Silicon Valley thing, you may end up at some startup that you really like or a company you yourself start! (esp since Haas is very entrepreneurial)
Also, there are probably lots of mid-tier PE firms on the west coast that you could network with and target....for which you may even have less competition than if you were at a school like Booth or Wharton.
$100k is a LOT of money, especially when compared to nothing. In fact, one good way to help you decide is to call Booth and tell them about your full ride, if they pitch in at least $40k or so, then it may become easier for you to decide to go to Booth.
Best of luck!