Thank you for your thank you.  The bloody mary spice packet already includes the pepper and is quite spicy.  How do I know?

I've mixed up experiment one and have been enjoying my first glass.  It is definitely a Bloody Mary and will work well on trail.  The only modification I would make is to add one more tsp of tomato powder to thicken it up.

Here is the perfect recipe:

1.  Put 270 ml of Vodka in your 1 liter water bottle.
2.  Add one 2 oz Dimitri's Bloody Mary seasoning pack
3.  Add 8 tsp of tomato powder.
4.  Add 1 tsp of salt
5.  Fill nearly to the top with water, close bottle, and shake to mix.

Now only if one could find celery, olives, ice, and a swizzle stick in the wilderness!