Well, my postmaster and I learned a couple of things from this week's disaster.
I'm not sure how many people he had to go through to get this information, but there is indeed a number we can call ahead of time to make sure there is space on a flight that is not carrying dry ice. No one anywhere locally knew this, they had always assumed they couldn't find out what FEDEX did with them. He has the number now, and we'll definitely be calling it before any other birds are shipped. Whether or not that would have made a difference in this case I don't know.
Also, for live shipments brought in Mondays-Wednesdays FEDEX guarantees on time arrival to the USPS. Anything shipped Thursday-Saturday is not, and will likely get bumped for dry ice.