You may be able to find adoptable dachshund puppies by working with a local dachshund rescue group, which you can find by contacting the Dachshund Club of America. You can also use a pet adoption website, such as Petfinder.com, to search for adoptable dogs by breed.
State or regional dachshund clubs may also be able to help you find breed rescue groups in your area. The American Kennel Club publishes the contact information for some rescues on its Rescue Network page, but this is not a comprehensive list. Reputable dachshund breeders also may be able to help you find a good rescue, although be careful because some puppy mills pretend to be rescues.
Petfinder.com allows local rescues to list adoptable pets. The rescues are thoroughly vetted by the website, so you can adopt from them without having to worry about accidentally supporting irresponsible breeders. It has a detailed search tool that lets you search by breed, age, location and other factors to help you find a nearby dachshund puppy. You should also frequently check your local all-breed animal shelters because purebred puppies do sometimes become available but are typically adopted quickly. Some private rescue groups may be willing to contact you if a puppy that fits your needs becomes available.