Hi, I'm also in AZ, and was born in Indiana. We have some great breeders here, but I agree with you the good ones only will sell with a limited registration. Good breeders don't just care about the puppies they place; they feel responsible for all future dogs that "puppy" might produce. Finding a good home for their dogs is extremely important to them. I hope you do more research before considering mating your dog. Someone posted this link, and I believe it gives some very valuable information:
Breeding Your Dog