[MJHanna]

Mammoth is very disappointing, the lower terraces a dry not like what it used to be 20 years ago, and I would pass on it. (My 2 cents worth)
Depending on where you want to exit I would go through Red Lodge on my way “out” of the park. You will be on the Beartooth Highway what have some of the most beautiful country in the world. There are switchbacks that you will wish you had the 911 instead of the truck. It has glacier lakes that you drive by, pink snow (yes some of it will still be there when you go) you go above timberline and get to see the tundra; it’s a whole different world. Your kids will see stuff they will not see any where else. Look at the maps Yellowstone is a loop, West is a good base. But on your last day you could base out of Cody, Fun town, great western museum with a lot of original western art work, from CW Russell, Remington etc. I know of a B & B that is just out of town that has themed rooms, They have deer and antelope that graze on thier pasture that you can see from the building. You can go back through the park on Chief Joseph highway, stop in Cooke City and then down the Beartooth or you could stay in Cooke last day and then go through Red Lodge.