I go horseback riding for long hours on back trails. I have a first aid/little survival kit in a Nalgene water bottle and one in a 38 oz steel bottle. Both have loops to attach a carabiner. I want to attach a sort of safety line to me so if my horse spooks and I fall off I don't want my kit going with her.
Hanging the bottle off my body is not reasonable for long rides due to bouncing and movement so I usually clip it to saddle. How can I ensure that the kit stays with me if I fall?