I am extremely sensitive to wool myself. I have not found a wool that I can tolerate for a sweater yet. I've been trying out various ones as scarves to test them. Some are better than others.
I would not go to the trouble of making a sweater in a wool that someone else recommended. Each person is different and you need to see how they feel on your neck and chest since that is the most sensitive area for most people.
I recently made a sweater with some nice acrylic - James C. Brett marble chunky - and I love it and wear it all the time. It's acrylic though.