I was there last summer. Some say that riding Going to the sun road is best done from west to east but there ain’t no good places to stay on the east side. We ended up in some overpriced dump in BFE. We got our money back and made it back around the bottom of the park to the west side. We found a good selection of places to stay in White Fish and Kalispell. Both are relatively close to the park. Curley Bear restaurant on the east side of the park makes a mean Buffalo burger.
When you are done there, take Highway 2 through Libby and Troy to Bonners Ferry, ID
Absolutely beautiful ride. We stayed at a cheap but clean motel called Kootenai Valley or something like that. There is a little restaurant about 8, short, beautiful, miles from there called Deep Creek Inn. About a mile or so from the famed Ruby Ridge where Randy Weaver went off. Best dinner of the summer there.
If you are around Sandpoint, ID, take a ride up Swietzer Mt. You can see forever on a clear day. They also usually have concerts there in the summer. The city beach has no shortage of hotties in bikinis.
If you like twisties, like the Hippo said, a ride around Coeur d’Alene lake will get you all you want.
If you end up near Missoula, MT, LoLo pass is a great ride. They have hot springs up there. And the road has just been re-done.