ISO Camping Suggestions for trip to Jackson, Missoula, and Stanley

Hello GFC brain trust,

Looking for suggestions on dispersed camping spots for mid to late October. We will be starting in Grand Junction, Colorado, headed to Jackson WY area the first night then have 3 nights to get to Missoula MT, then 4 nights to get to Stanley ID. I have been doing my research but wanted to see if there were any suggestions about “can’t miss” places, awesome camp spots, also very interested in hot springs that you recommend in those areas. We are traveling with 2 dogs. Thanks in advance for any suggestions.
*also posting this in “trip planning” category.