Let me suggest an idea for more realistic route for you, this is assuming you have 16 days, and 2 adults doing the driving and you are willing to push for a couple of LONG sunrise to sunset travel days on the way out west and back. I base this on our own trip to the Grand Canyon from western Louisiana in 2019 with our starting point over 700 miles west of your starting point. This is a long post, but gives you a realistic idea of what one might see and do in the region in about 2 weeks, though still with a lot of time on the road, for me this was a 3,000+ mile loop, you are 700+ miles east of where I live so would be around a 4,400 mile drive, I started the homeward drive on day 12, with sight seeing along the way home.
For our trip we departed western Louisiana on an October Thursday morning, drove just under 400 miles for our first day, spent the night near Mineral Wells, TX, Second night was a long 313 miles to get to Amarillo, TX (a cold front blew in that morning around sunrise, we waiting until after 10 am for the rain to stop to depart the rv park, then spent the day dealing with cross winds gusting up to 30 mph. From there we drove to Sante Fe, NM only 278 miles, but involved making a grocery store run to Wal-Mart in somewhere west of Amarillo as mid day stop, arriving at around 4 pm ( relatively in town RV park had a 5:30 PM latest check in allowed) and more cross winds, also maybe 20-25 minute rest stop at the NM welcome center, and fuel up, and shop at Cline Corner (sprawling gas station, gift shop, etc. bit of Americana). We then spent 2 nights in Santa Fe, we had a couple of hours before dark the first night, so we went out to eat at a hole in the wall New Mexican cafe in a strip mall about a 4-5 minute walk from the RV park, second day we took a Uber into the downtown historic district ended up getting back to the RV park after 7 pm (Sante Fe is one of the oldest cities in the western US founded around 1607). The next day we drove from Sante Fe to Charma, NM, then across to Aztec, NM Only 212 miles, but making a few day stops along the way. The next morning started with a couple of hours at Aztec National Monument, then on west to spend the night at Goosenecks State Park, UT (photo attached) only about 150 miles driving distance, but with stops at 4 Corners Monument, and a late lunch at Bluff Trading post in Bluff, UT, this put us getting into Goose Necks SP at about 4 pm, so enough time to walk around some, set up camp, pull out the propane fire pit and chairs and enjoy the sunset. The next day we drove 181 miles to Waweap campground at Lake Powell national recreation area north of Page AZ, driving through Monument valley UT, with a mid day side trip that added about 20 miles to Navajo National Monument where we took a short 3/4 mile hike to overlook the cliff dwellings, Arriving at Wahweap just before check in closed at about 5 pm. We spent 3 nights at Wahweap, we toured the Glen Canyon Dam visitor center, did a half day smooth water float trip down Glen Canyon (they call it half day, but between driving into Page (9 miles) check in, return bus ride, drive back to the campground etc. we were up and going from 8 am - 4 pm), The next day we ate lunch at a western themed restaurant which featured live with about 5 bus loads of Chinese tourist did a lower antelope canyon tour, slot canyon tour, did some grocery shopping at Wal-Mart in Page, topped off our gas and propane tank, and by sunset we were doing laundry in the laundry room at the campground. The next morning it was off to Mather Campground at the Grand Canyon for 3 nights, 145 miles, arriving at around 4 pm, making a mid day stop for lunch and gas at Cameron trading post where we had some great food, and an even better view from their dining room. The drive from Cameron to the Grand Canyon east entrance was slow going, as it is a climb of a about 3,000 feet in under 30 miles, much of it stuck behind a converted school bus that could only do 25 mph up the hills. I think 3 nights was a good amount of time to get a feel for the grand canyon if you are not going to hike the trails, This gave up 2-3 hours to get a first look / sunset look of the canyon, then 2 full days there, I could see cutting this part of the trip to 2 nights if needed, but the extra night let us relax at bit. From there we drove down to Flagstaff, stopping at a couple of roadside attraction (airplane museum, etc.) on the way. My wife then flew home very early the next morning as she had work obligations she had to get back for, leaving me to make the return drive on my own. This was now Wednesday day 13 of the trip, where I started the drive home at about 9 am, events of the day involve stopping at Meteor Crater outside Winslow, AZ, around noon, yet another Wal-Mart grocery stop in Winslow, driving by the famous corner in Winslow (I did not stop), ending up spending the night at the free dry camping campground at the gift shop just outside the south gate of Petrified Forest National Park, National just as the park was closing for the day at 5 pm, only about 150 miles driving, but another fairly full day. The next day now day 14 included driving through Petrified national forest NP, which featured awful tooth jarring badly paved roads, so bad I did not even see half the park, then on east to Springerville, AZ where I stopped early due to bad weather rolling in, and a low of 12F that night. Much of the rest of the trip involved working my way down to I-10 and and heading home to Louisiana trying to stay ahead of a second early season arctic blast.
Could we have pushed harder, and enjoyed it, maybe with 2 people driving, but we did not have to deal with caring for kids either, and we had around 20,000 miles of RV driving experience going into the trip.