I know that my home club up in Aurora/ Oswego has father son events quite often. I try to get my two boys, ages 10 and 4, out at least once a week. We usually hook up with a few other pairs of father/ son groups a few times a month. We even try to travel to new courses during the summer as well.
Most of the J-Town guys have seen David and I out on the course together at some point, I think we even went out to Frank and Beans handicap one week.
If you ever want to get together for a father/ son round somewhere, hit me up here or on Fox Valley's website and I am sure I can get something thrown together for a gathering of family golf.
As for the tourney aspect, I think it would be a bit difficult to get one of these organized. The number of parent/ children that disc golf together is not that large and it would be a considerable risk for the organizer if only a hand full of people showed up. Now an organized get together would probably be a bit easier and less risky as well.