Are you planning on getting as far as California ?
If so, Yosemite should be on your list.
Mt Rushmore, Grand Canyon, Bryce and Zion canyon, Petrified Forest, Death Valley, Meteor Crater, Las Vegas.....
You'll be driving 8 to 10 hours a day with short stops if you try to hit as many as possible...might be better to pick the 3-4 closest of the list for this trip and save the rest for another. I would choose Grand Canyon, Bryce & Zion, Meteor Crater near Winslow, AZ & The Petrified Forest.
Or head to Death Valley and then Yosemite and try to catch the Grand Canyon on the return.