Here are a few suggestions, some based on my own experience and some on others' recommendations:

Arizona : Grand Canyon (North Rim) (for lodging, try the Crazy Jug Motel in Fredonia, I bet you never saw anything like that in Quebec!), Havasupai, Ft. Bowie, Painted Forest, Monument Valley (Kayenta area), southeastern AZ is really scenic, Cities: Flagstaff, Phoenix, Tucson. Small towns: Jerome, Prescott, Superior, Douglas, Bisbee, Tombstone. Interesting highways : US60, SR80, SR82, SR90, US89A, US389, Apache Trail (SR88)

New Mexico : Very Large Array (near Magdalena), White Sands NM, Pancho Villa State Park, Carlsbad Caverns. Cities: Roswell, Alburquerque, Santa Fe. Small towns: Las Vegas, Santa Rosa, Columbus and Lincoln. Interesting highways : US60, I-40 between Moriarty and AZ State line, US9, US380

Utah: Arches NP, Zion NP (++), Bryce Canyon (++), Canyonlands, Grand Staircase Escalante, Four Corners (AZ, NM, CO & UT). Cities: SLC. Small towns: Moab, Hurricane, Kanab. Interesting highways :I-70, US89, US59, SR12.

Nebraska: Buffalo Bill Ranch, Oregon Trail, Scottsbluff NM, Chimney Rock, Courthouse & Jail Rocks. Small towns: Scottsbluff, Bridgeport, Bayard, Ogallala. Interesting highways: US26.

New Hampshire : WHITE MOUNTAINS!! Mt Lafayette, Mt Washington (don't drive it, hike it), Franconia Notch, Mt Adams, etc. If you hike the white mountains, I suggest you camp at Country Bumpkins Campground in Lincoln, it's a very nice campground, Conway scenic railroad, Cities: Concord. Small towns: Franconia, North Conway, Bethlehem, Beach: Hampton Beach. Interesting highways: US302, US3 (White Mountains stretch), US1A.

Vermont: Green Mountains, Mt Mansfield, White Rocks, Ben & Jerry's Ice Cream factory tour. Cities: Burlington (++), Montpelier (capitol), St. Johnsbury. Small towns: Montgomery Center, North Troy, Stowe, US2 (Champlain Island), US105, US100 (covered bridges), US118, US78.

I got to go, but there are more to come!

Gen