The Hotel Burnham is a small hotel on State Street. Neat location, but I doubt you will have great views or large rooms. The Drake is, of course the "grande dame" of Chicago Hotels, and many rooms would have beautiful lake views. I have never been in one of the rooms. Perhaps they could tell you about size. Sorry, I can't help at all with Sofitel. Enjoy your stay. October is often the best month here.

Lisa in Chicago