Whisk tomato juice, lemon juice, okra brine, olive brine, horseradish, soy sauce, celery seeds, Worcestershire sauce, Tabasco Chipotle sauce, pepper, and crab boil in a large bowl or pitcher. Chill at least 2 hours or up to overnight.
Add vodka to tomato juice mixture; stir well. Serve cocktail in glasses over ice and garnish with green beans, okra, and celery.
