Don't want to overstate the obvious, but you'll be just south of Grand Tetons and Yellowstone. If you haven't been, you must go, esp on a bike.
Just north of Jackson, look for the Scenic Loop Drive leaving from Moose Junction. I think it is paved, but nevertheless beautiful.
I think there are a couple of fire roads you can get well into the Tetons on, and will miss lots of other tourists in their Winnebagos. Wish I knew the numbers, but I saw them on a map at the visitors center.
Get on it and ride, you can't go wrong. (Watch your fuel though!)
Steve in AZ...
Of all the things I've lost, it's my mind I miss the most...