Jessmarimba, I'd really have to see you to be able to give you a good answer.
My bet is that it's postural; weak or lazy core, especially hip stabilizers and hip external rotators. Kinda sounds like they are just strong enough to get by when standing or walking, but under the greater stability challenge of running they go AWOL. Meanwhile your feet amight trying to compensate by going pigeon-toed, trying to get the ankle where it belongs as you run.
Ask whoever you're working with to help you correct your standing leg posture in front of a mirror. Then practice, practice, practice at home. No impact, and good for you!
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson