You would just be lucky to spot a Black Bear. Most of the wildlife is pretty shy most of the time. For the best chance at spotting a Mule Deer, or Elk, try slowly driving the highway south of Cloudcroft to Sunspot, with its solar observatory. Just before sunset, or just after sunrise would be optimum.
Hummingbirds abound in the Sacramento Mountains around both Cloudcroft and Ruidoso. You would need to find feeders for closeups however. If you have a cabin (many in Ruidoso, some in Cloudcroft), you might want to buy your own feeder. You would probably have customers in an hour or two.
Contact "The Bird House" retail store in the village of Cloudcroft. They sell bird supplies, and could also tell you from their local's knowledge the best places to go...maybe other animals also.
they also have a Facebook site, but I don't have it at hand at the moment.
Enjoy your visit!
Edited: 12:48 pm, February 24, 2012