Turn a slow cooker on High and add butter to melt.

Heat a medium pan over medium heat. Add chorizo and cook until fats begin to render, about 3 minutes. Add onion; cook and stir until browned, 5 to 7 minutes more. Add to the slow cooker. Stir in bell peppers, chile peppers, tomato sauce, black beans, baked beans, tomatoes, and corn. Add hot sauce, chili powder, and paprika.

Heat oil in the same pan over medium-high heat. Saute garlic in the pan until browned, about 1 minute. Add turkey; saute until browned and crumbly, 5 to 7 minutes. Drain the liquid from the pan and add to the slow cooker. Turn the slow cooker to Low and cook, stirring once every hour, until reduced, about 6 hours. Serve with a spoonful of sour cream and shredded Cheddar on top of each bowl.