I only run every other day and I've got some decent road running shoes from Salomon. If running wasn't part of my future employment, I'd be doing something lower impact.
Is jogging a pace you can maintain indefinitely? I jogged 3 miles today after jogging 2 on Friday and it wasn't much harder. Also recovered really quickly when it was over. It may not seem like much but propelling 300+lbs for any length of distance and time has to be forcing some kind of adaptation. It's definitely faster than walking or power walking.