Here's a couple old posts, maybe something will help in your plans:
Yellowstone and the
Wyoming Area ...... and ......
Ditto For the Tetons: We stayed at Colter Bay Campground, the one without hook-ups in mid-June 2010, it was a nice place for such a large campground and close to showers. Our daughter & her hubby needed them, not having showers in their A-Liner. I have heard good things about Gros Ventre Campground...get more animals walking by or close by, etc. Nice views.
If there again, I believe I'd try Gros Ventre.
The Colter Bay Visitor Center and Indian ArtsMuseum by the Colter Bay Campground is really a neat one.
If your Route takes you near Raton Area of New Mexico. Between Clayton & Raton is the Capulin Volcano Nat'l Mon't.
A Neat Place. ------
But no CampingNear Clayton,
Clayton Lake State Park. Never been to it, however.
Sugarite Canyon State Park by Raton is a neat area.
Near Amarillo: Never been to the state park, but have read about it & would like to make it over there someday.
Palo Duro Canyon State Park as well as Caprock Canyons State Park, from what I have read, seem like very neat areas to see.
Caprock Canyons State Park & Trailway would make a neat place to check out. One I would like to see. For perhaps a neat experience,
Copper Breaks State Park near Quanah sounds pretty cool.
More overnighting along
US 287 between Dallas/Fort Worth Area to Amarillo.
If going via Dumas,
Dumas City Park north of Amarillo. Or the
Amarillo Welcome CenterFrom Amarillo, I believe I would take US 87 to Dumas to Dalhart to Clayton to Raton & I-25 N to Cheyenne. From Cheyenne, I'd stay on I-25 N to Casper. Then US 26 W to Moran (Tetons).
Colorado Springs AreaIf you do make it to Cody, try to see the Buffalo Bill Historical Center with Five Museums Under One Roof.
http://www.bbhc.org/These 4 were really great:
Buffalo Bill Museum
Whitney Gallery of Western Art
Plains Indian Museum
Cody Firearms Museum
The Cody Chamber of Commerce has a nice Visitor Center (full of information) & with a really nice art gallery.
http://codychamber.org/visitorcenter.html