In my opinion, you could certainly train BJJ safely and get some functional skill out of it. Your WC could even help,due to your understanding of structure and sensitivity. The catch is, you need the right teacher and the right training partners. if you sign up at a testosterone packed gym full of competitive meatheads, where classes consist of a couple of tournament techniques followed by an hour of rolling, you're unlikely to get any good benefit and you may get injured. You want a gym where a) you can get a foundation in the self-defense aspects of the art, b) the instructor is willing to come up with whatever technical modifications you might need for your physical limitations, and c) you can find training partners willing to do lots of drills and some light* grappling without getting all competitive. *(that's real light grappling as opposed to "light grappling until I get the slightest bit frustrated whereupon I will spaz out and go full force") There are gyms out there which would be a good fit for you, but I don't know what's available in your area.