+1 for this idea. Maybe you want to consider giving free service to some early adopters in return for the ability to analyze the impact on your business. Ideally, you would spread this out across a few different target demographics, like pizza joints, Chinese/ethnic, late-night, etc., so that your potential customers would identify with the results.

Even the most conservative restaurant owner is going to be swayed by a clear financial benefit.

Also, convincing potential customers to take the plunge is the kind of task that (good) salespeople excel at.