I do know of another option, although kind of a strange one. There is an ex mil guy who works for FedEx and is VERY mil friendly with getting the ATP done. The only catch is you have to provide the airplane. He will ride on squadron aircraft if your commander will allow it or you can bring or rent an airplane to him in the Memphis area.
You will have to get all the checks in the block, he won't miss anything, but he is there to get you your ATP, not make a name for himself as being a tough examiner. He also understands the differences between military and civilian flying and the training that you have been through.
PM me for details if you want his contact info.