Mediation is NOT confidential
Unless I'm mistaken, the act of participating in mediation is not confidential, even though the discussions held within the mediation are generally confidential. That fact gives us mediators a great tool to educate our markets-- testimonials.
Most mediator websites I've seen are 'brochureware'. They state the offerings of the mediator and his or her credentials and some generic thoughts about why mediation is good. It's nice but not compelling.
What is compelling to you, me and mostly everyone else, is the recommendations of others. Our websites should prominently feature our disputants comments (if they are willing) about the benefits of a) the using that particular mediator and b) the benefits of mediation as a top choice for finding solutions. Now, that's attractive and compelling.
Think about it. How often do you ask diners leaving a restaurant if they enjoyed their meal before you go in? You probably see movies that are recommended to you, right? Didn't you wait to get Netflix until someone else you knew had it and liked it? Give potential clients the benefit of a third-party recommendation like a testimonial to aid their decision-making.
How? Figure out a way to ask disputants what working with you was like for them. Then ask if you can use their comments in your marketing materials.
Sure, it'll feel awkward at first, but remember, you're educating people and there's nothing wrong with that.
Try. Fail. Learn. Grow!