So, 5700 mostly expressway miles to see 3 places that are a total of 600 miles apart in a new (at least to you) Class C.
Take a camera and a roll of film so you can take pictures of each of you standing next to the "now entering" and "now leaving" signs at each place.
That's all you'll have time for. You can't even fly into any of those three places in anything larger than a single engine Cessna.
OR, fly into Las Vegas and rent a car so you'll have time to actually visit what you want to see.
This spring and summer find some CGs near home where you can spend a few weekends finding out what you need but don't have and what you have but don't need. And how everything works.