couple years ago we did a grand canyon trip form NE FL. I really wanted to go on to CA to see the Sierras, the big trees, Death Valley, etc.... if I'm going that far I might as well....but there was just no way. I only had a 3 week break off work, so we set the canyon as our limit. It's where DW wanted to go. So we pushed a fairly hard pace
Anyway you said a week across so I thought my experience might give some insight.....it's a lot of driving.
My original plan was to push on about half way to some midpoint destination to stop for a break on the way out and the way back....doing other stops just as overnights in places like walmart, etc. Ended up with more of a stop nearly every day for a bit of a break. We have kids so it was important for them to run around, but for us old folks too.
to give an idea of pace..
first night was an afternoon stop at the Naval Aviation Museum in Pensecola FL. Want to say we got there around maybe 3PM...found a place out on the beach for dinner, then overnighted at I think a Cracker Barrel by the highway for an easy start in the AM.
next day we stopped mid day ish in Baton Rouge, toured the museum ship there and let the kids play there on the riverfront for a couple hours, then pushed on the Shreveport. Found someplace for a parking lot overnight.
3rd day we stopped for a couple hours in Dallas and saw the Parrot Museum, which was very good.... then looking for a place to stop in Bowie TX I was getting tired. It was starting to be clear this was too much. Stumbled across a little mini RV campground at the town's fairgrounds so we could plug in, have AC, and I could sleep a bit better.
4th day we did an RV museum in Amarillo TX, and lunch at a big tourist trap but fun steak house, then drove through Palo Duro Canyon Park...nice but no camp spots available so we overnighted at a nearby walmart
5th day... I think it was this day we found a little car museum by the highway to walk through for a break, then pushed on to Albuquerque. Rode the tram up to sandia peak, found a nice place for dinner, then overnighted at a cracker barrel. By now it's clear to me
that this pace is too hard to keep up
and I don't rest that well overnighting in a parking lot. Guess I'm too much on-guard.
So... we took a zero day, did some museums in ABQ, played tourist...then found a place to get off the road (American RV Resort) just West of town.
Anyway we continued that sort of pace out to the canyon. One more overnight near Flagstaff, then the canyon on the 6th day.
I figure CA would have been 2 more days
& That is a fairly hard pace. I would have done it quicker in a car probably, especially how I used to drive when I was younger, but as the only driver in the RV it worked.
and for me I'm convinced stopping for a museum or a break in a park, or something every day is a great way to go.
I also learned that for me I can plan on no more than about 2 nights in a row overnight in a parking lot before I need to find a more restful campground or RV park to plug in the RV and to unplug my mind.
If there was a second driver I'm sure this could have shortened, but I still think for sanity sake it was a good way to do it....and the second driver would have just made it easier.
If I were doing your trip with no real time constraints, I'd probably plan on maybe 10 days minimum to cross and I'd plan on daily stops at points of interest at least almost every day just like we did before.