The Tesla Model 3 can easily add 100 miles in 10-15 mins if its battery is 30% or lower. That isn't theoretical performance, that's actual real-world performance that I've seen. That plus the ~250 miles of range the Model 3 LR has (again real-world range, without making any effort to conserve energy) means you can realistically to your ~350 mile trip with little to no change to total trip duration.
Now the Model 3 may be a premium vehicle, but EV development is only just getting started. Within the next few year we'll be seeing cars with similar performance for half the price. That tied with the rapid expansion of 150kw and 250kw chargers means that in the next 5 years, doing your theoretical road trip, with only one 10-15min break, will be possible in almost any new ~$30k electric car.