You are not confined to booking your property through Airbnb.
You might want to try a couple of the other websites.
The last thing Airbnb wants is for you to book with those people. Once they start losing Revenue they will change their tune... if you are correct.
You may want to double-check before you proceed but if it's true, book your property through the other Avenue and then send a copy of your listing and your booking to Airbnb.