I don't know the recipe, but I had a friend who used to make bloody marys for me back in my drinking days.  I really didn't like bloody marys up to that point, so I was reluctant to try.  She used V8 juice with low sodium (can you still buy that?) and her secret was to put in some celery salt to make up for the low sodium.  I don't know the proportions of anything she put in there, but those things were sure delicious.