M.B.
GroVia and Bum Genius both make all in one snap diapers that are organic. Bum Genius' ones are called the Elemental.
Those are both expensive (I think $25 a diaper), but it sounds like they're what you want, and they are also one-size, so they'll grow with the baby. You'll definitely save money over disposables, too, even with the pricier diapers.