I say run if you want to and if you get a kick out of it. Why shouldn’t you?
If you also have issues around food then it will be hard to resolve them whilst also denying yourself your passion, as you say. It sounds as though restricting is your problem, so I can’t see (from a logical POV which may not actually be the best approach….) how restricting something you enjoy will help your state of mind at all, or help you stop restricting food.