Here are two sites that offer slightly different takes on storytelling and health: 
Healing Story Alliance is a special interest group of the National Storytelling Network that “explore[s] and promote[s] the use of storytelling in healing. Our goal for this special interest group is to share our experience and our skills, to increase our knowledge of stories and our knowledge of the best ways to use stories to inform, inspire, nurture and heal. We also wish to reach beyond our storytelling community to share with those in other service professions; therapists, clergy, health care practitioners of all kinds, anyone who can see the benefit of story as a tool for healing.”
Medicine Chest is an online collection of traditional remedies and folk wisdom to do with health and healing. It aims to gather and record traditional know-how before it gets lost so it can be passed on for the benefit of future generations.
On this site you can upload your health-related tips, stories and information that come from traditional sources such as your own family. You can watch topics unfold as people discuss their own experiences alongside related scientific evidence and other relevant perspectives. Find stories here.