In a blender combine the tomato juice, lemon juice, lime juice, horseradish, Worcestershire sauce, garlic, and hot sauce and process until smooth. Transfer to a nonreactive container and add salt and black pepper, to taste. Refrigerate until thoroughly chilled, at least 2 hours and up to overnight.
When ready to serve, fill each glass with ice.
Add 1 ounce of vodka to each glass, then fill the glass with the bloody mary mix. Stir well, and garnish each glass with a pickled green bean and a pickled okra.