"They" may continue to balk at your condition because you'll have to fly an ejection seat airplane in pilot training, which doesn't mix well with back injuries in case you have to "give it back to the taxpayers."

One piece of advice, though, that I got from a general a long time ago...don't take "no" from someone who's not authorized to say "yes." When someone tells you they can't help you, ask them politely who is the next person up the chain of command, then call that person and reengage.

Good luck, I hope you can get past this!