Trim fat from meat. Sprinkle Cajun seasoning evenly over meat; rub in with your fingers. If necessary, cut meat to fit into a 3-1/2- or 4-quart slow cooker. Place meat in slow cooker. Add hot pepper sauce and the 1/8 teaspoon black pepper. Pour undrained tomatoes over meat in slow cooker.
Cover and cook on low-heat setting for 8 to 10 hours or on high-heat setting for 4 to 5 hours, adding pepper strips for the last 30 minutes of cooking.
Transfer meat to a cutting board. Slice meat and transfer to a serving platter. Drain vegetables, discarding cooking liquid. Serve meat with vegetables. If desired, sprinkle individual servings with cracked black pepper. Makes 8 servings.