B'fast near Hotel Chicago
Hello, idk if your trip is done, but my favorite is wildberry pancakes down across the river by the park. I would call that close, you may not. Their breakfasts are probably the same amount as the hotel but are NOT overpriced (for what they are) because they are heaven. Get a skillet breakfast and upgrade your plain pancakes to specialty pancakes which have a variety of flavors, like cinnamon or tira misu.
I also love xoco for breakfast but they have a more limited breakfast offering.
Xoco, 449 N Clark, isn't far from you and has some wild & crazy Mexican breakfast stuff. Menu is online. It's owned by Rick Bayless whose Topolobampo is famous. Another interesting option would be to hike across the river and a couple of blocks beyond to Heaven on Seven, an old Cajun restaurant up on the 7th floor of an office building, where you can get breakfasts like Shrimp Creole Omelet and Bananas Foster Pancakes. Google for address and details.