Agree with Plus EV. I do this drive several times a year in my model 3 LR AWD, but I live roughly 45 miles farther than you in the East Valley so I'll modify my experiences based to your shorter distance. I cannot comfortably make it the whole 225 miles to Kingman because of the highway speeds, altitude gain, and the usual headwind. You should have a much easier time, especially with a fresh battery that hasn't degraded at all yet. I'd just take a peek at the usage/efficiency data as you are approaching Wickenburg to confirm you still have enough buffer to make Kingman with no anxiety. After a few road trips, anxiety will drop and confidence in the navigation projection increase. There is a Wikieup supercharger on the map, with a Q3-2023 projected opening, which will add redundancy to the route and provide a good bail out option for both directions of travel on that long stretch between Wickenburg and Kingman.
As for Kingman, I'd also say to use the Andy Devine site near the visitor's center, even if the Nav tells you to go to the Carl's Jr site. It's only 1/2 mile down the road but has much better and faster charging and better bathrooms during daytime business hours.
As for Vegas, quite a few of the big casinos have free charging either in self-park or valet. Use Plugshare to plan ahead as it's always nice to leave town with a free full charge. Bring your J-1772 adapter as many of those are universal chargers and not Tesla specific. If self park, just be courteous once you're done charging and move your Y to free up charging for the next person. If not available, there are options near the strip (high roller wheel) and on the way out of town near railroad pass and Boulder City.
Enjoy the car, roadtrip, and Vegas!