Interesting blog article:
http://lisakifttherapy.com/therapy-c...lly-lay-on-it/
My T's office the last couple years had a couch/loveseat I sat on but I'd have trouble lying down. If you think you'd feel weird, I wouldn't force yourself but maybe address the reasons why your T thinks it might help? I'd try one or the other (doing it "her" way or addressing the "problem" she sees).