Try covering 2000 miles in 3 days in an EV. Even the upcoming Model S refresh only has a 520-mile range. You could take 4 days to make the trip, but why should you allow your vehicle to force you into that? The current crop of EVs are even worse than that, with maybe a 300-mile range. I rode shotgun in a Model 3 once from Salt Lake City to Las Vegas; we made two stops of 30-40 minutes each to recharge, while in a normal car you might only need a 10-minute stop for gas.
(That "2000 miles in 3 days" wasn't a hypothetical. I drove that about a month ago, returning to Las Vegas from visiting my parents near Dayton, OH. The drive out to visit them was even longer: 2500 miles in 4 days, visiting friends along the way who were a little bit off the direct course. Day 1 of that trip ended in Bisbee, AZ (far southeast corner of the state), and the end of day 2 was over 800 miles away in Georgetown, TX (near Austin), with a whole lot of nothing in between. I'd be surprised if there were charging facilities sufficiently close along my route. Even gas stations were sometimes a bit sparse.)
The Bisbee to Georgetown route has a bunch of fast chargers available. A quick check at plugshare.com shows at least 9 locations along I-10 between Bisbee and Georgetown (assuming you don't backtrack to Benson, which also has one), not counting the dozens in the Austin area. That's just the ones that have 50KW or higher fast-charge systems, there are a lot more with lower charge rates. The span from Vegas to Phoenix would be the tough one for any EV with under 350 mile range - you'd need to take a somewhat longer route through Needles and maybe Blythe to find a fast charger. There's a station being built in Kingman though, so even that segment will be easier soon.
For the most part, there's a charger at about every second service area along interstates, and Wal-Mart is installing charge stations at many of their stores. My wife recently drove round trip from Vermont to Wisconsin in a Chevy Bolt (259-mile range, about 1200 miles each way), and most of her charging was at Wal-Marts or Electrify America charge points at rest areas.
It's only a little harder to go long distances with an EV than with an ICE now, and it's getting easier every day.