Incidently, speaking of River North, Harry Caray’s, one of the greatest Chicago eateries reviewed here is just accross the river at Dearborn and Kinzie. You should really try to make it if you can. It’s a short cab ride or 15 minute walk straight up Dearborn.
There’s also the nearby Weber Grill Restaurant (part of a very small [three locations ?], Chicago-based chain) that really serves some superb fare !