If you can see the end of the stuck CV joint, see if you can see the clip ring that is keeping it from coming out. Push the CV joint in so the clip is loose. If you can see it and manipulate it with a long thin rod or something, then get yourself a helper to gently pull on the CV joint as you manouver the clip to be centered in the hole. If you can do that, then the CV joint should just pop out.
The problem is that I think your differential gears will be in the way. If the differential is separate from the transmission, or if it has a separate cover. I’d just remove the cover/differential to work on it that way.