I don't think that it's spicy at all. It's actually really good, but it's not vegan as it contains egg whites. Keep in mind that you don't have to order the Guiltless Black Bean Burger as is listed on the menu. With any of the regular burgers you can just substitute the bean patty for the meat one for no charge. I like the Peppercorn Burger w/o bleu cheese, but I guess that's not an option for you since you can do pepper. BBQ Ranch is also really good if you take off the bacon.
Aside from the bean patty Chili's has loads of other vegetarian (but not vegan) options. The fajita pita is good- just get a Chicken Fajita Pita and substitute veggies for the chicken on the pita. Also veggie fajitas- which come with onions, bell peppers, mushrooms, veggies, rice, black beans, tortillas, guac, pico, and lettuce. The broccoli cheese soup is yummy too, and it doesn't have a chicken base like a lot of soups do.