Y.S.
Hi M., I went on a road trip about 10 years ago camping and visiting fun places for a total of 6 months. Back then I didn't have kids, so I couldn't tell you about stroller-friendly places, but I can tell you what was fun.
* Jackson Hole, WY is a fun town, good hiking trails.
* Salt Lake City - you can camp on Antelope Island and swim in Salt Lake - a lot of fun - the water is so salty that you basically float on top...
* Moab Utah and Arches National Park near Moab - absolutely beautiful place to see - here I camped at a local hostel for very little money
* Mount Rushmore and Crazy Horse Monuments in SD is nice to see
* Crater Lake National Park in Oregon - really nice to see, there was a campground nearby too
* Shasta Lake, CA was fun - nice lake and good hiking too
If you want to go down south a little, Grand Canyon North rim and South rim, Brice Canyon, 4 corners, Lake Powell Arizona, Zion Park, Aztec Ruins New Mexico, Mesa Verde CO -all really beautifull...a lot more to see there
I stayed away from main highways, took smaller roads and found things and places to see as I was driving. Also, I would ask local people for recommendations on campgrounds and places to see. People everywhere are very helpfull and friendly...
I hope this helps and have fun !!!! Enjoy your trip!
Yvette