The stop times on this route are short, and knowing that in advance is what keeps the week pleasant.
Zion: Forty-Five Minutes and Seven Trails
Utah's first national park, established in 1919, holds 229 square miles of canyon, cliff, and river, seven trails, and three campground areas. The route takes about 45 minutes, which tells you what kind of stop this is: a look at Zion Canyon and the Temples and Towers of the Virgin, a few photographs, back in the car.
If Angel's Landing Trail or The Subway is the reason you came, 45 minutes will not do it. That is a day, and a day means cutting something else.

Bryce Canyon: One Hour at the End of the Day
Bryce Canyon gets about an hour, on the same afternoon as Zion, and the night after it is spent at Best Western Plus Ruby's Inn.
An hour buys a viewpoint and a slow look, not the walk down into the canyon and back up. If that walk is the point, give Bryce its own morning another time.
Canyonlands and Arches: The Nine-Hour Day
Canyonlands National Park covers 473,773 acres across four districts: Island in the Sky, the Needles, the Maze, and the rivers. Established in 1964 near Moab, it sees close to 475,000 visitors a year, and the route gives it roughly an hour before moving to Arches for two.
One hour in a park that size buys one district and one viewpoint, so pick one and leave the other three for another visit. Mesa Arch and the White Rim Trail are the two names that come up.
Monument Valley: Two Hours on Navajo Land
Monument Valley is the outlier of the week, a 30,000-acre Navajo tribal park created in 1958 and sitting across the Utah and Arizona line, with formations that reach 1,000 feet. John Ford shot westerns here, which is why the skyline feels familiar before you arrive.
Two hours covers the 17-mile Valley Drive, where the names sit: Totem Pole, West Mitten Butte, Three Sisters, Rain God Mesa. Keep the stop to driving and photographs, and it works. Add a hike and the schedule breaks.
Grand Canyon: Three and a Half Hours
Grand Canyon gets about three and a half hours the next morning, then a 360.4-mile drive back to Las Vegas. Pack the night before, because seven hours of driving follows a morning that goes quickly.

The Los Angeles Tail
The last driving day runs about 285.8 miles and five hours, with stops at the Welcome to Fabulous Las Vegas Sign, Seven Magic Mountains, and the Outlets at Barstow. Day seven is free in Los Angeles, with an optional city tour at your own expense.