You can buy the military trauma bandages for like $1/each. Add 2 or 3 of those to your kit; supposedly they hold as much fluid as 20 4x4's. I think I was able to squeeze out 4-5 ounces of water once when I played with them.

From personal experience, they will drip out eight ounces or so, once they are saturated with blood.
_________________________
Member of the toughest, meanest, deadliest, most unrelenting -- and ablest -- form of life in this section of space, a critter that can be killed but can't be tamed. --Robert A. Heinlein