There are tens of thousands of Yorkies out there, so unless your dog is a champion show dog, you won't find someone willing to breed their bitch with your dog. Have you shown him? What are his special qualities, that make him desireable and unique from the thousands of other Yorkies in the world?
People that are willing to breed their bitches are looking to improve the breed. Why not have him neutered and enjoy your dog for the pet that he is?
Our lives begin to end the day we become silent about the things that matter.