Sounds like you're on the right track

Before I got my first dog on my own I created a short list of breeds that I like the look of. Then I narrowed my short list by looking more into temperament, grooming requirements, vetting and food costs.
My short list included English Bulldog, American Bulldog, Great Dane, Irish Wolfhound, Schnauzer, Dachshund, and Newfoundland.
I eliminated the EB because of high initial cost and high vetting costs, since they're notorious for health problems. The AB was eliminated because we have BSL in our area and I was afraid that they would think it was a pit or pit mix. Danes, Wolfhounds and Newfies were eliminated because of the cost of food (I was in college at the time). I got it down to schnauzer and dachshund, ultimately decided on the dachshund because they're big dogs in little bodies and I kept coming back to them.
If you like the looks and temperaments of hunting dogs, which would most likely be the best jogging partners, why not look into breeds that aren't used to actually capture or sight the prey? I would personally avoid any sighthound as they tend to chase and shake before realizing what they're after. I almost lost Sadie (my mini dach) to a rescue greyhound at the dog park, thankfully she by me and I was able to scoop her up just before the greyhound got to her.