KCBS prohibits an organizer from competing in their own event.
Theoretically, you can have your own team enter your contest if you stay completely away during the entire prep and cooking process, but if your team gets any calls, be prepared for lots of complaining as has already been implied.
You will have more than enough to do as organizer. If your teammates don't mind hearing about how "the contest was fixed" over and over and you can be totally hands-off with them, then go for it. For myself, I prefer to keep it clean and simple and do one thing at a time.