You do not need a professional production. Just hold a video camera in your hand and point the camera at the prototype on a screen and tell the story as you would to an audience in a room. You do not need to write an elaborate video script for the story. The total time you spend on recording a story in video format and sharing should not exceed 30 minutes.
A well made video can replace a one hour meeting and save hours for you and your colleagues. There are several technologies available for sharing your video privately with a select group of people. YouTube is a free and easy. Vimeo is another service that is very good for such sharing. Vimeo charges a fee for password protected videos.
Here is a sample video I made some time back to convey a concept. It is not really a story. But it will give you an idea of the tone and style of production.