An FYI to my fellow DIS'ers about booking this package. If you really want to go, I recommend trying to make a reservation for the LAST possible date of your stay. And here's why....
The OP was looking for May 20, 91 days from today. We'll I'm staying on site from May 16-23rd and I could start booking 4 days ago. In fact, 9 days ago people staying at WDW could book that date. So are you really surprised its gone by now? I'm actually shocked you can still get BD but its mostly because those on
DDP will avoid the 2TS requirement.
When I booked my F! package on Sunday (I got MM, it was my first request of my 7am call), I booked May 21st, which was the 6th day of my 8 day/7 night trip. Taking the ADR booking window "math" further, that meant only people arriving 4 days before me could book this (instead of the 9 for the OP). Going further, of those persons, how many were acutally staying 10, 9 or even 8 nights? (My odds were getting better). So in reality I think I only had to complete with people arriving 1 day before me. Those are much better odds than the OP had.
So look at your trip dates, figure out which F! show is the last one you can do, and make that your first ADR request at 90+10. And call at 7am Eastern!
No guarantees, but your odds based on ADR rules in place will greatly improve your chances. Good luck.