It's good that your OB isn't doing scare tactics, that it's just a policy issue. But that is infuriating. I agree with pp that they can't turn you away if you show up in active labor, and I agree with you that if you went to your OB and said "I was thinking....I might have been wrong about my dates...." wink, wink, that that could work for both of you. Also consider just calling on your induction date to cancel the induction for other reasons -- family emergency, etc etc. The "emergency" being that you need to take care of your unborn child, whose needs are not addressed by their hospital policy.
Have you seen this page: http://birthlove.cyclzone.com/pages/ten_month_mama.html ?
There are some comments from OB's about halfway down, and some medical issues addressed around the same spot, that will be encouraging to you.
Have you thought about acupuncture?
that is one cool thing about my OB, she actually has an acupuncturist that comes in every wednesday for folks (turning mostly, but also inductions, etc) so I can do that this wednesday if I am still pregnant. Then I see her on Thursday for scheduling the sat induction - so at that point, if the acupuncture doesn't work, and if I am STILL in a bad bishop score area (induction likely to fail) maybe Ill suggest the nudge nudge wink wink to eek it out until Monday. Given that she did say the whole 95% give birth in those two weeks I think as long as I pass the stress test I should get the FULL two weeks!
I do hope this all ends up being moot, however lets hope this weekend brings on some labor