When I think dogs in pre-columbian I think of two things: Huskies in the Artic and Chihuahuas in Central America. But, this seems to narrow to be true, right? Also as a follow-up, how far did turkeys/llamas spread from their respective areas of domestication?
About a week ago, I gave an answer to a similar question. Let me try to sum up the points, if you will.
Dogs in the Precolumbian Americas were very widespread, and played a central role in many cultures. While you might know about sled dogs, for which the tradition still exists in some places today, as well as the Mesoamerican lap dog - the Chihuahua or Techichi. What you might not be as aware of are the South American dogs, or those of the modern continental United States. This is where I will elaborate.
So, let's start with North America, where my particular specialty within this specialty can be found. The Karankawa were a people who lived on the gulf coast of Texas, and their name is translated in one of the neighboring Coahuiltecan languages (a regional, rather than genetic, grouping) as "People who love dogs". They called themselves 'wrestlers', but they were well-known for the dogs they brought everywhere with them. These dogs served many purposes, from hauling hides and wood, to hunting, to simple companionship as pets. The breed that they used has never had a name, but was known quite peculiarly as resembling a coyote in many ways. It was a "silent" dog that did not often howl or bark, either. Some scholars of the past have indicated that they may, indeed, actually be coyotes taken as pups to be tamed and socialized among the tribe.
As strange as the concept of a tamed or domesticated coyote sounds, it's not entirely without merit either. Some coyotes in the present day have shown social behaviors and more pleasant attitudes towards humans, including begging for food; this may have been how we got our dogs from wolves originally. Furthermore, up north between Canada's Northwest Territory and the Great Lakes, the Hare Indian Dog was once bountiful. When brought forth to determine its taxonomy, those studying it were baffled and simply could not find a distinction between it and the coyote. Some suggested it was simply a domesticated coyote, much like those of our Karankawa. While the specific breed in question is almost certainly not the same, it sheds light on our situation a bit more. This goes further with the Tahltan Bear Dog, so named because of its use by Canadian First Nations peoples in hunting bears. This dog, though not as obviously coyote-like, featured the same yips as one so as to intimidate its prey. So, we get a general trend of what these hunting dogs are like - often, they're quite similar to coyotes, or mimic the traits of coyotes. Sledding and working dogs have their own history but are generally much more well preserved breeds. Furthermore, sled dogs tend to be descended from those brought over from Asia, while these coyote-like hunting dogs may have been later local developments unrelated to the previous group. One dog that stands out among these is the Salish Wool Dog, used by Northwest tribes as a source of wool for weaving in much the same way sheep were used elsewhere in the world. Another stand-out dog is the Xolo, a Mesoamerican hairless breed.
Speaking of Mesoamerica, they're one of the first sources we have for domesticated turkeys. These turkeys were used for food across the whole of the region, although they came from what was to the Mesoamericans considered the far north. Certain indigenous recipes, such as tamales or black mole, utilized turkey as key ingredients, and still survive today in a modified and modernized form. The actual range of turkeys seems to have been across most of the continental United States, from the Caddo "turkey dance" to the turkey-feather cloaks of the Muscogee and Algic peoples, to the headdresses of the Atlantic seaboard, so the sacred birds of the Navajo.
Alright, let's move to South America. We'll tackle dogs and llamas here.
So, the main body of known dogs from South America comes from the Andes and their civilizations. Perhaps the most famous of these dogs is the Peruvian Hairless, which originated on the Peruvian coastline but expanded in its range that the Spanish considered them pretty much one of the six staple dog breeds of the later Inca Empire. Their hairlessness probably attests to the desert nature of the coast, while later Inca nobles who kept them as pets had to artificially keep them warm in the mountains of their homeland. Also present is the Peruvian Shepherd. This fun guy would've been, as the name implies, the dog to help with llama herding. They were short and yellow, and perhaps a bit fuzzy as well. They kinda went extinct, or at least blended into other dog breeds, so it's hard to say for certain when all we have left are mummies. Their wards, the llamas and alpacas, were utilized over the entirety of the Inca Empire as beasts of burden, sources of wool and meat, and sacrificial animals. While it's easy to talk about them in the context of the Inca Empire, all of these practices well predated that empire, and were widespread across the Andes similarly.
I, personally, do not know of the other four Inca breeds. I can, however, state that dogs seem to have been oddly absent from the Amazon region, despite the wide adaptation to all sorts of environments we see elsewhere in the Americas. I don't really know why, then, the ancestors of the Tupian, Ge, Cariban, and Arawak peoples simply did not bring dogs with them. Deeper in the Amazon there is a wild canid, the Short-Eared Dog, but I'm not aware of any attempts at domestication, taming, or use otherwise by indigenous peoples.
Sources:
Cannibal Coast by Edward Kilman, 1959
Karankawa Indians: The Coast People of Texas by Albert Samuel Gatschet, 1891
This 2018 study about the history of American dogs
Information on llamas and alpacas according to the Animal Welfare Information Center
Encyclopedia Britannica, on various topics as reinforcement
I asked a similar question and got a great answer from /u/Milkhemet_Melekh. Hopefully your question will get even more responses.