Check out this thread, you may be able to coordinate with someone canceling a reservation.
http://www.disboards.com/threads/ne...ad-read-1st-post.3409711/page-3#post-53740415
Just check Disney's website a few times a day. I was able to get everything that I wanted by doing this and that's during the same time frame you're looking at.
Some dates to remember:
60 days prior to trip-people are booking FP+ and may cancel ADRs that interfer with their FPs.
45 days-people will be canceling hotel reservations since that's the last day to do it without penalty with that canceling ADRs.
1-7 days prior-I have read about people booking several reservations for hard to get places (BOG, Chef Mickey's) during their trips because they haven't set plans in stone and then cancel those ADRs when they finalize plans.