I'm not a Bloody Mary drinker, however I have been around a couple professionals at our tailgate parties. This is one of the favorites.

Use 1 gal container:
4oz Sweet and Sour
4oz Whorchestershire sauce
Squeeze 4 Fresh Limes
15 dashes Tabasco (red)
Squeeze 4 Lemons (don't have to be fresh, really)
4oz Rosea Lime Juice
2oz Celery Salt
2oz Black Pepper
4oz Horseradish
4oz Grey Poupon Mustard
1 bottle V-8 Juice
2 large cans Tomato Juice

Cook out in the lower lot? I think I could try to make this and bring.