I agree with the idea of a massage therapist. I think touch is getting in the way of your actual therapy. Maybe you should talk to your T about why you are desperate for touch in therapy, but are not seeking it elsewhere (friends, family, relationships, massage therapist).

Would you go to therapy if touch was never allowed again?

I'm the hugging type. I want a goodbye hug from my Ts. I would hurt if they took hugs away, but I wouldn't end therapy over that. In fact, I think if/when I find a new T, I won't ask for hugs. For me, I think it worsens my attachment issues.