Unfortunately, the picture quality is not good enough for me to make an identification.
What makes you say these are bird mites? Where these found on a bird such as a chicken or a duck?
I encourage you to contact your Laramie County University of Wyoming Extension office at https://wyoextension.org/laramiecounty/. The local agent may have the means to look at your specimen in hand which would work better as this specimen is quite small. If an in-hand identification is not possible, then you may have the option of sending the specimen to the University of Wyoming's diagnostic lab (usually for a fee) for identification.