I play Anasazi flutes. I have several flutes from Michael Graham Allen (aka Coyote Oldman), several from Geoffrey Ellis (Earthtone), one from Butch Hall, and one Ravenwing flute. I can recommend the flutes from Coyote Oldman and Earthtone very highly. The Earthtone ones have more of a shakuhachi style embouchure and are the easiest to play (and loudest). The Butch Hall one is the hardest to play, and quietest, but closest to the originals. The Ravenwing one has a similar embouchure to the Earthtone flutes. I find the Coyote Oldman flutes to be a nice balance between all of the above, and they are beautifully finished and will last a lifetime. As a beginner I'd recommend starting with a B or Bb. The reach on the bigger ones can be painful. All are relatively inexpensive, so you can get several in the long run if you get into it.
There is a long, but very rewarding, learning curve to playing these rim-blown flutes. For players of transverse flutes it should be fairly easy adapting ... but still expect it to take a while and a lot of practice. Once you start to get the hang of it you'll really enjoy the range of tone and expressiveness, and all the flutes will end up being relatively easy to play. The whole process of learning is really quite similar to learning to play a transverse flute, just that the embouchure is slightly different. I find them easier to play than say kavals or Arab neys, and definitely easier than a Persian ney. Learning to play the modern ones is most similar to learning to play a shakuhachi (especially if you go with one from Earthtone).
I have done a lot of research into the originals and how they were played. There is a lot of evidence to suggest that the originals were played using an interdental technique, like a Persian ney, but nobody plays the modern ones that way.
I've made a lot of replicas of the originals from PVC and have learned to play them using various different embouchure styles. Playing interdentally makes them sound quite different. I've also made some replicas with the modern shakuhachi style embouchure. Some of these can be very easy to play .. especially when you shape the blowing edge to match your own embouchure style. Its actually quite easy to make a PVC Anasazi flute, and I would be happy to send some dimensions for those who are interested.
Oh, and by the way, even the name "Anasazi" flute is controversial. Anasazi is a Navajo word for "ancient enemy". The people who originally made and played these flutes (around 1200 years ago) did not just disappear, as is commonly suggested, but migrated from the cliff dwellings to the pueblos. Modern day puebloan indians (such as the Hopi) are their descendants, so a politically correct term for these flutes is "ancestral puebloan flutes". Even this is controversial though, because "pueblo" is of course just a Spanish word for village, and its not as if the conquistadors were exactly friendly to the natives. There are too many different native tribes, each with their own language, to be able to agree on a single native name though. Welcome to the world of native american flutes.
Well, that may be more than you wanted to know.

There are some sound samples on the link below if you want to hear what they sound like (in the hands of an amateur, of course). The definitive CD to buy for these flutes would be Coyote Oldman's "Rainbird". Highly recommended.
Sound SamplesJon