Is this for just taking out with you while hunting? How far from your truck will you be? I usually don't carry anything when I go out because I am in areas I can get to my truck in a short time. And I can use what's on me to stop bleeding. Gloves, belt, sock, knit hat, bottom of shirt. But kerlex is great stuff, it's a gauze but can be used as a bandage or a dressing.
I have carried a couple of battle dressings in my pocket before. They are all wrapped up about the size of a deck of cards but when unwrapped they have a nice pad dressing hooked to some cloth that looks like a triangle bandage. Put the dressing against the wound and wrap it up. In my truck I always have a field bag with 4X4s, kerlex, hand cleaner, aspirin, needle and twizzers to get out thorns, hemostats for putting stuff out. Bottle of water so long as it does not freeze. Bandaids for little things, plastic wrap or Vaseline gauze. Nothing will top you brain when things happen and they are going to clean clean clean at the hospital or clinic so I don't worry about things needing to be to sterile. I dropped a tree stand on my head once and used my cotton glove wrapped to the top of my head with my rope used to lift my bow into the tree. Finished hunting then went to get a few stitches. I looked funny but it worked fine.