Not sure about the Non-toxic part but CFM show room was great. The workers were helpful (we went through Billy) and if you have a contractor friend you get a better price.
Hi Chelsia - Driscoll Robbins has collections of carpets that are made of natural, undyed wool (which is maybe as close as you can get?) They dye itself is not particularly toxic but you could make the call on that depending on your preferences. They also know which manufacturers treat with insecticides, etc. and can help you avoid those.