Stephanie,
The company I work for, ARAMARK, has a property near there called Togwotee Mountain Lodge. They will do airport transport. They have several different snowmobile treks, mostly on Togwotee muntain, but there is at least one in Yellowstone. Also have track vehicles (Ford vans - equipped with tracks) for back country tours. They provide snowmobile clothing.
Not sure if they still do this, but there used to be an overnite stay snowmobile tour. At the overnight point there are hot springs to soak in.
This is one of the few Parks properties we have that I have NOT yet visited. So I cannot give you first hand info and I do not have pictures.
Togwotee Snowmobile Adventures - Jackson Hole WY
angela