Cook bacon in a large skillet over medium heat until crisp, about 4 minutes per side. Remove from skillet and lay on paper towels; cool for 5 minutes. Crumble bacon into bits.
Drain skillet of all but 1 tablespoon bacon drippings. Reheat skillet to medium-high heat. Season shrimp with paprika and black pepper. Saute shrimp until opaque, about 2 minutes each side. Season with 1/8 teaspoon salt.
Whisk lemon juice, olive oil, mustard, and the remaining 1/8 teaspoon salt in a small bowl. Mix in romaine hearts.
Arrange 1 1/2 cups romaine lettuce on each serving plate. Top with equal amounts of bacon, shrimp, tomatoes, carrots, and avocado.