If you think it might help then my advice would be to try a little exercise and see what happens. If it doesn't cause problems, try a little more, increasing it very slowly. If it starts to worsen your symptoms, then reduce or stop. Be aware that it may take a day or two for the symptoms to get worse after exercise, so take things VERY carefully.

I would also advise exercises that don't involve head movement/jolting. So an exercise bike is better than a rowing machine or running. My head is very sensitive to any of that sort of movement, but it took me a while to understand this.