We are contemplating a snake draft system if we decide to allow people to schedule more than 1 priority date each year. So if you go last on your 1st choice, you'd get 1st pick on your 2nd choice. Does that seem more fair from your perspective?
A lottery is an interesting concept, but it's only really equitable over a long time horizon. What if I got a bad luck fo the draw 3 years in a row? Scheduling is hard, and we are constantly looking for ways to improve so we really appreciate the feedback!