There might not be a Chicago-themed hotel yet, but at least there's Chicago deep dish pizza! Giordano's is good deep dish at a reasonable price. They have both covered patio and indoor seating with friendly service. Deep dish does take some time to cook (expect ~40 minutes from when you order), so we had some mozzarella cheese triangles and garlic cheese bread while we waited. I really liked the cheese but could have done without the bread, despite their menu making it seem amazing.
Two of us shared a small deep dish and only managed to get through 4 of the 6 slices. They're also willing to go half and half on the toppings, so we did bacon/onion and pepperoni/sausage. The crust is tasty and probably the best you'll find in Vegas.
I miiiiight advise against lunch here as it does tend to sit a little heavy.