Doesn't look good:
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You can make it, but you need to drive no faster than 50 mph. You can almost double your range if you drive no faster than 30.
If you stop half way in like say Kayenta, you can charge overnight on 120V and add 50 miles of range.
Looks like there are some easy to find 240V chargers too, KOA campground in Ojato. Depends on whether you only will use superchargers.
Edit: also a Tesla operated destination charger in Moenkopi Legacy Inn & Suites [Tesla] if you stay overnight. Super easy that way, barely an inconvenience.
I'm interested in taking this route in October, but I've only got a Model 3 SR. Still works fine as long as I stop over night, or hit an L2 charger for an hour.