In a greased 3-qt. slow cooker, mix barbecue sauce, garlic powder and paprika. Add pork; turn to coat. Cook, covered, on low 4-5 hours or until pork is tender.
Remove pork from slow cooker; shred into bite-sized pieces. In a bowl, toss pork with 1 cup barbecue sauce mixture. Place romaine on a large serving platter; arrange pork, tomatoes, avocado, carrots, chopped pepper, eggs and cheese over romaine. Drizzle with dressing.