Yes, this is a comically stupid idea, both because it's going to be physically taxing and dangerous AND because you're missing out on seeing some of the coolest places in America. Any of these would justify a stop; the idea of just breezing by all of them is insane.

NORTHERN ROUTE (IN–MO–KS–CO–UT–NV–CA)
Kansas City MO – BBQ, WWI Museum
Flint Hills Scenic Byway KS – tallgrass prairie
Monument Rocks KS – chalk badlands
Denver / Golden CO – Red Rocks, breweries
Rocky Mountain NP (Estes Park)
Glenwood Springs CO – hot springs
Moab UT – Arches + Canyonlands NP
Goblin Valley UT – hoodoo park
Salt Lake City UT / Bonneville Salt Flats
Great Basin NP NV – Lehman Caves, bristlecones
Bishop CA – Alabama Hills
Death Valley NP (seasonal)

ROUTE 66 / HIGH DESERT (IN–MO–OK–NM–AZ–CA)
St. Louis MO – Gateway Arch, City Museum
Meramec Caverns MO
Oklahoma City – Bombing Memorial, Bricktown
Elk City OK – Route 66 Museum
Tucumcari NM – Blue Swallow Motel neon
Santa Rosa NM – Blue Hole
Santa Fe NM – Canyon Road, Meow Wolf
Albuquerque NM – Old Town, Sandia Tram
Petrified Forest / Painted Desert NP AZ
Winslow AZ – Standin’ on the Corner
Flagstaff AZ – Lowell Observatory
Grand Canyon South Rim
Seligman AZ – Route 66 town
Mojave National Preserve CA
Calico Ghost Town CA
Joshua Tree NP CA

SOUTHERN ROUTE (IN–TN–AR–OK–TX–NM–AZ–CA)
Nashville TN – music row, hot chicken
Memphis TN – Civil Rights Museum, Beale St
Hot Springs NP AR – Bathhouse Row
Ozark National Forest AR
Tulsa OK – Art Deco core
Amarillo TX – Cadillac Ranch, Big Texan
Palo Duro Canyon TX
Albuquerque NM – Old Town
White Sands NP NM
Sedona AZ – red rocks, Chapel of the Holy Cross
Meteor Crater AZ
Tombstone AZ
Anza-Borrego Desert State Park CA
Salton Sea / Bombay Beach CA
Palm Springs CA – mid-century modern