If you had to bring one thing on a jog for protection it should be a well trained dog. It can deter, warn, and respond to an attack. A concealed carry only does the last thing, increase your ability to respond to an attack. Also, the dog is arguable a more enjoyable companion on the run. Counter argument would be that the dog is a lot of maintenance.
An open carry in addition to the dog would probably keep you safe outside a war zone.
An open carry in addition to the dog would probably keep you safe outside a war zone.