Preheat your smoker or oven to 350°F, setting up for indirect heat if using a smoker. This will allow the beans to cook evenly while picking up a subtle smoky flavor.
In a large skillet over medium heat, cook the ground beef until fully browned, breaking it into small pieces as it cooks. Once done, remove the beef from the pan but leave the rendered fat behind.
Add the sliced andouille sausage to the same skillet and cook in the leftover beef fat for 3–5 minutes until lightly browned and slightly crisp on the edges. This step builds extra flavor before everything is combined.
In a large cast iron skillet or foil pan, combine the baked beans, cooked ground beef, browned sausage, chopped bacon, diced onions, and green peppers. Mix everything together until evenly distributed.
Add the BBQ sauce, brown sugar, yellow mustard, hot sauce, and BBQ rub to the pan. Stir thoroughly so all ingredients are well coated and the flavors are evenly combined.
Place the pan in the smoker or oven and cook uncovered for about 2 hours, stirring every 30–40 minutes. Cook until the beans thicken to your desired consistency and develop a rich, caramelized finish before serving warm.