I think this is one case where a hack repair would be suitable. I would figure out where the axle should be in the dropout and add something to make it so it stays there. Unlike the cracked head tube, I don't really see how this is a safety critical issue. If you really wanted to do it right, I imagine a carbon repair place could fix it up for a reasonable price. Or even just get a carbon repair kit and diy. But I would check with someone that does it all the time first.