I did a slightly longer version of this as a round trip drive years ago, and on the outbound leg covered 2300+ miles in four days. We had to get to the destination. It was pretty intense. Return leg was leisurely and nice

The main thing I realized was that, however bad it is to have a TA plan everything for you, you might not want to leave this totally to chance. Finding a room can be trivial in a decent sized, not too touristy town like Amarillo, but extremely difficult if you plan to stop in Flagstaff and go to the Grand Canyon. I had a couple of experiences with drive around evenings looking for rooms after a long day in the car, and ending up spending too much money for what we ended up with. If there are stops you really care to make, find a hotel and book yourself in there in advance. Chances are you've picked a place others want to stop in too, rather than Norman, Oklahoma, say. You can allow some flexibility between the stops you care, but it's really worth picking out the ones you do and making some plans around them.
Since the road doesn't exist anymore, you can be flexible with the routing

I'd definitely go through Santa Fe, a much nicer town than Albuquerque. And I might consider popping up to Vegas, but that's just me. I would definitely be very creative in how I explore Arizona, given the significant number of naturally beautiful sites out there. In the end you're planning a great road trip from somewhere in the Midwest to LA. If there's a place you want to see nearby, it might be worth finding a way to get there, you won't do this too often.