I think you should have a frank discussion with the doctor about why there is urgency to proceed. Then consider setting the surgical appointment for March or April and shortening your travel plans.
I do not say this lightly - some years ago I insisted on waiting until Spring for surgery, and my condition got vastly worse in the 4+ months. Recovery was very complicated. And this year, I have delayed leaving for the South until January to take care of a bad shoulder. Are you trying to leave the cold behind?