Thoroughly mix the vegetable juice, vodka, 1 teaspoon each sea salt and pepper, the hot sauce, lemon juice, Worcestershire sauce, garlic, onion powder, celery seeds, horseradish and olive oil in a 1-gallon resealable plastic bag. Add the steak. Let marinate in the refrigerator, at least 8 hours and up to 24 hours.
Preheat a grill to high. Remove the steak from the marinade and wipe off the excess liquid with paper towels. Grill the steak until marked, about 2 minutes per side, then reduce the heat to medium and cook 7 to 9 more minutes per side for medium rare.
Remove the steak from the grill, cover with a clean towel and let rest 5 to 10 minutes. Slice against the grain.