I had some of the best rotisserie chicken I've ever had at Cotton Blossom BBQ at WoF. I actually went back in and complemented the staff!
At SFGAm, the chicken sandwiches at Strutters are always good. If you like extra flavor, ask for them to make it spicy. Doesn't seem to be on the menu anymore, but they will make it that way if you ask. I also enjoy the Italian beef sandwich at Big Lou's. Quintessential Chicago food. Oh, and just recently I had the buffalo chicken quesadilla from Fiesta Fries Cantina. Surprisingly good and a ton of food, more than enough to share and only $1 on the SF meal plan.