If you're committed to having a concealed-carry gun every day, then it's worth considering other EDC gear for daily carry, such as a tourniquet. Here's some background on this handy emergency tool.
Designed to protect life-saving tourniquets from the environment, the Blue Force Gear Tourniquet Now! Pouch is available to prepared citizens and professionals.
Realistically, all you need in a micro-IFAK is a tourniquet, properly staged on a carrier, an absorbent bandage such as an Israeli battle bandage or Cederroth Bloodstopper, a pack of QuikClot Combat Gauze, a pair of gloves and a Hyfin Chest Seal.