On a side note, personally I hate choke chains as much as some people hate prong collars. And one reason why I hate them, and won't use them, is because they simply do not work and seem to cause more stress for me as well as for the dog.
In the beginning when I got Luther (he was 14 months old) and he was not leash trained, someone suggested using a choke collar,
but as soon as I put it on him, he didn't even skip a beat, kept pulling just as hard as on a flat collar except this time he would make choking noises, leash corrections were impossible to do, and I decided then and there that I HATED the choke collar and would never use it again. IMO it was useless, seemed to be harming the dog, and was throwing me out of the zone - I was too distracted with the choking noises and could not focus to work on training him to walk properly. Next was the martingale collar (leather and chain), which in all honesty was not much better then the flat collar as far as walking him went. And finally I said enough and that's when I got the Herm Sprenger training/prong collar with quick release snap (3.25 mm) and a short/traffic lead. I did my research on how to properly fit it, and use it. And within a week I could walk Luther without straining my arm, looking back I can't believe that I walked him that first week in spite of all the pulling he did; but somehow I did because I was obsessed with walking him at least once a day. Now I walk him twice, and he walks in heel on a loose leash.
Hopefully, once you get your CC to walk properly while wearing a prong, it will eventually translate into running without one. Remember, time and consistency in training are your friends.