I'm not sure it's ENTIRELY dependent upon your father. While it certainly makes things much easier, if he happens to cut you off then there are other means available. The college should have a financial advisor (and other advisors as well, hint hint) you could speak with.
Because your dad's part of the faculty, and I don't believe HIPPA applies to non-health related advisors, there's a chance if you came out and fully explained the situation to the advisor it could get back to your dad. Depends on how decent of a person they are and if you can swear them to secrecy on their own honor.
You could look into going to a different school. If your dad cuts you off then his income won't matter for the financial aid calculations. Grants, scholarships and other need-based assistance, with loans being a sort of last resort -will- get you through any school you can get accepted into.
The biggest thing would be to find a stable living situation while you're waiting for bureaucratic wheels to turn and the semester to start.
It is possible to do this completely without your dad, it will just be very hard, and very scary. The question is, do you want it bad enough to chase down what you want no matter what?