Well...personally, I have to agree with Devotion in this. I feel that, if you choose to participate, you should take that week off from judging. While GMs do participate in many of their own events, most players do not know their legits, and we do not participate in Hide and Seek or Warp Portal for obvious reasons. Would it really take a toll if one or two of you chose to take a break from judging one week? You could even work out an alternating schedule, or discuss who would enter if they really wanted to enter a certain theme. If you all three want to enter, you still have the GM team as judges. We can push that. As Devotion pointed out, participating and judging could lead to accusations you don't want. If you want to compare it to GMing, we get accused of helping our friends win from time to time as it is. However, if players lose faith in the judges, there will be even fewer entries. The event could just as easily die.
As for broadcasting, I personally don't see a problem with it. I won't say anything one way or another, but we could talk about it, I'm sure.