If you want the skinny on dye-transfer, check out the Yahoo! group, it's where all the big-wigs are. (Jim Browning, Ctein, etc.). Jim Browning has given complete directions for making your own matrix film and that can be easily found online (but not easily done). However, I don't think he's done a production run recently, nor does he plan to in the future.
Unfortunately it is a "mostly dead" process, though it is feasible if you're dedicated and have the means. However, it is impractical at this point. I believe carbon is equally obscure, and much more dificult from what I understand.
Three-color photogravure is another option, though I'm not sure if it has the same look as a DT or carbon print, perhaps others can comment on it's print quality (does it look like a print for a book, or can it resemble a photographic print?). There's also carbro, which I believe is similar to tri-color carbon. Check out Nickolas Muray's prints.
And then also there's tri-color gum printing, but it's not comparable to these other methods in terms of it's "look". Much more impressionistic, arts-and-craftsy looking IMO. But I'm no authority on the topic, so IDK...