Keep the barrel pointing down and keep the nipple/cap tucked under your arm pit. If you have a sling place a condom over end of barrel and carry with sling over shoulder, barrel pointing upward and back position with cap/nipple under fore arm and elbow area. Carry an inline capper in your shirt pocket and attach to your shirt with about 10" string/leather, for really quick access. Carry a pocket knife (quick access) for just in case the cap gets stuck on the nipple. Carry a nipple wrench to remove the nipple if misfire occurs and firing fresh caps does not help. Remove nipple and pour in a little powder, replace nipple and fire gun. I'm asuming you are using #11 caps and loose powder ?
Depending on the area you are hunting, wearing a poncho really helps keeping the gun dry. They can be pain to wear in thick cover though.
Assuming it is legal to carry the gun decapped and leaving the powder, Do Not take the cold gun in a warm house,truck cab, hotel, etc..... It will sweat and then it will go click when the big one is in your sights.
With all that, you should be fine with the cap/nipple tucked under your arm.
Good Luck !!!!!