Diana in Wisconsin posted a link up above to a group called Charity Navigator. Don't know if it screens out your criteria.
While I don't know of such a charity personally, here are some resources that may be able to direct you towards such an organization.
I've pinged Coleus again and hopefully he will be able to expand on this.
BTW - you would be equally surprised by the companies in your retirement portfolio. Some of them use those investments in much the same way as the MOD. Should you be interested, AVE MARIA FUNDS are designed specifically for morally responsible investors who are looking for financially sound investments in companies that do not violate the core teachings of the Catholic Church. No fetal stem cell research.
Thank you very much for the information. I will try to contact those organizations re: my question.