I saw the post about the crunchy green granola dipes. We use cloth - so I never really fully investigated it, but I know our Whole foods carries diapers that don't have bleach and chemicals. I would imagine you could compost (at least the pee only) diapers in a cold compost. I used to know someone who composted both in a hot composter, but I am not that secure in my composting skills. I can check it out next time I am there, if you want.
You could also use G-diapers or Flip system (or the like) which have a reusable shell (diaper cover) with your choice of compostable or cloth insert.