Great advice agesilaus. As for places to stay - GNP - Mountain Meadows or any of the KOA's, West or East. We stayed a few days at North American RV park because they are a Passport America park and it saved us some money. Stop at all the sites within the park and of course, do the Going to the Sun road and the hike from Logan Pass Visitor Center. If you can, continue on returning through Hwy 2 around the park and stop at Goat Lick.
I agree on LBH - we purchased an audio tour in advance and drove through while listening to it. We stayed over at a KOA near there, took the tour in less than a few hours, then left the next morning.
For Mt. Rushmore - We stayed at Mt. Rushmore KOA when we visited. At that time it was beautifully wooded. We also visited Jewell Cave, Rushmore Cave, and drove the Needles hwy. There is a cave to drive through and we had a 99 F250 SRW and we fit with the mirrors in.
Definitely visit Devil's Tower and take the hike around it. There is also a KOA there.
For Yellowstone and GTNP - Colter Bay RV is a nice option. It's between Jackson and YNP off the Rockefeller Highway. In GTNP - Visit Menoir's Ferry, Mormon Row, Drive the Scenic Loop, go to the top of Signal Mt, visit the visitor's center in Moose, and Chapel of the Transfiguration.
For Yellowstone, there's a lot to do there. If you need hookups in the park - go to Fishing Bridge. If you want to stay outside the park, there still Colter Bay or stay in West Yellowstone - Grizzly RV is nice. We prefer Baker's Hold FSCG. Most of the sites have electricity and you can fill up water at the entrance. It's 2 miles north of West Yellowstone. There's a KOA in West Yellowstone but it's about 5 miles West.
If you enter Yellowstone from the East, from Cody. There are nice RV parks in Cody along with a KOA. Visit the Buffalo Bill Cody Museum. Well worth the stop. That's a full day's visit or two. Between Cody and the East Entrance is Buffalo Bill Cody state park and some sites have electricity and water. They take reservations too. If you plan to stay in Cody, take the Chief Joseph scenic byway. Then while in Yellowstone take the Bear Tooth highway tour, both with your TT back at camp. I'm sure I'm missing a lot, but that's all I can think of right now.
