Make the dressing. In a large bowl, whisk together the tomato juice, shallots, mustard, sugar, salt, red wine vinegar, mayonnaise, sour cream, and about 20 turns of a pepper mill.
Once combined, slowly whisk in the olive oil.
Refrigerate until ready to use. (The dressing makes about 1 quart and will last up to 2 weeks in your fridge.)
In a large bowl, toss together the cherry tomatoes, chives, bacon, romaine, onion, and 4 tbsp of the reserved dressing.
Top with the egg, avocado, and additional black pepper.