Chicago will be our final destination after a week-long road trip with our rental car originating at ORD. The hotel parking is $45 per day. Should we drop off the rental car after we arrive in Chicago? Airport shuttle from the hotel would be $50 for the 2 of us. We are staying 3 nights.
This is our first trip to Chicago and will be seeing the normal tourist sites. Does the Drake have easy access to public transport to museums and such?

Or is there a cheaper option to park nearby other than the hotel parking?