Pinkynose,
I understand not wanting to be put out. That said, the method they use can make a big difference on how you feel afterwards. I recently had a colonoscopy and was given propofol which wore off very quickly and left me without any nausea or adverse effects I get with other anesthesia meds.
Because of my nerve trauma, I personally try prevent getting hijacked too much by preventable, acute pain. When I had an extraction done last year they gave me a dab of ketamine and versed and in hindsight I was really glad I wasn't awake for the procedure even though many people could be.
Is the doctor's hesitancy due to difficulty in doing a proper local in the area for the size polyp she has to remove?