We would like a place we can hang out and watch the game, have some drinks and some eats. Not looking for a scene! We have heard some spots charge large cover fees or min. food/drink fees per hour.
If you just want a plain ol' sports bar in the Gold Coast/River North area, Mother Hubbards will probably fit the bill and is a reasonable walk from the Drake.
http://motherhubbardschicago.com/Otherwise, maybe Pippin's will be more low-key, and is certainly closer. Downtown Dogs is right next door.
http://www.centerstagechicago.com/bars/pippins.htmlAs for the minimum food/drink fees per hour, I've never heard of anything like that. Unless it's one of those "if you guys aren't drinking, we're gonna have to save those seats for customers" while sitting at the bar kind of deals.