Welcome. I'm over in Casper!
You've got some of the best riding in the world at your fingertips. Cooke City isn't far away and if you go over toward Lovell, you can be in the Big Horns in a matter of about 45 minutes.
I've ridden the Big Horns primarily (I just moved here from Billings). I know a lot of people from Cody from when I lived in Powell, and most ride Cooke City, however if the snow is good in the Horns I have friends that'll ride in from the Lovell side.