No JWs in Doha! There are some in Egypt, but its all very covert. Doubt any reside in Saudi.
Going to any of those places would guarantee that your kids out of the influence, you will get great travel packages and you can just be normal people and leave your religion off the table altogether. Expats go to church, but no one pressures you because it is not cool, and most just go to buffets on Saturday (which is church day, sunday is a work day)
Schools are better in Doha, IMO.