I did a Google search and found some information on a Catholic alternative called "The Little Flowers" Girls Club. It sounds nice... (my own daughter's too old for it at this point!) It may be worth checking out.
http://members.aol.com/eccehomopr/lfgchome.htm
The below website looks like a location to order materials (programs, badges, etc.) for The Little Flowers:
https://blitz.goldrush.com/chcweb/shopcart/products.asp?id=40&cat=Little-Flowers-Girls-Club
Thank you for the research! Like you, my daughter is too old for Girl Scouts but I have copied Barnacle who also posted this information. Perhaps the two of you can begin to spread this to others. Bless you both!