I’m sorry to read about your injuries, but that has nothing to do with the difference between back mounting and slinging a bail out bottle. I suspect I’m older than you and while I’m pretty healthy and fit for my age, I’ve definitely dove with injured and disabled people. An extra tank on your back is very, very unlikely to be the most comfortable solution. I know this because I have dove with single tanks, double tanks, side mount tanks, ponies, stages, deco bottles. Have you ever tried slinging a pony, maybe with some instruction from a professional? If not, then I suggest you don’t knock it until you try it.
BTW, there is no real evidence that using a pony, especially a back mounted one that you don’t have full access to, increases safety on single tank recreational dives. You personally might feel safer, and that counts for something, it helps you to enjoy your dive with less anxiety. But there are way too many factors to say that it’s actually making you safer. There are arguments that it increases danger for some divers, again probably no statistical evidence, but it’s a robust discussion.