Who the teacher is, who you connect with is more important that what they may or may not require. I suggest you go on Ustream and Youtube and look up Tenzin Wangyal Rinpoche, and Namkhai Norbu Rinpoche and spend quality time watching them, listening to them, doing the practices and meditations offered and see what/who you connect with. Do a search using 'dzogchen' or 'Tibetan Bon', will pull up more videos and teachers.
Those are the two Dzogchen Masters I know about. There are probably others. Maybe someone can add to the list?
Take the time to explore. As you can see, asking practioners from different traditions only ends up with folks throwing mashed potatoes at each other.
And that doesn't help you at all.
Good luck with your search.