I'd love to come shoot with you! Unfortunately, I live in Central Oklahoma. Haha. The furthest range around here that I know of stretches out to 600yds. I'm willing to travel to a nice range to learn!
Don't feel "unfortunate", you're in a GREAT area! I've got close ties to my Okie homeboys!
Make your way down to that 600yd range & get a feel for it. See what other shooters are using, and I bet one would let ya take their rig for a spin if you showed any interest! I sure enjoy seeing a 'new' shooter get behind one of my rifles and make good hits!!! Surely, others do as well...
If I had to make a recommendation on rifle & cartridge, I'd steer you toward something like a 6.5Creedmore. There are several factory rifles chambered in 6.5Creed that will be accurate enough to get you started. A Savage, Tikka, or the new Ruger RPR would be a good start and not break you, financially. Also, match quality factory ammo in 6.5 Creed is readily available to feed it.
Save your brass! If you've
really got the bug, I predict a reloading press in your future...
Also, you'll need a good, repeatable scope. For about $1K, a Bushnell DMR/XRS/ERS, a used Nightforce NXS or SHV, or Burris XTR will get you something reliable. Don't underestimate the importance of a quality scope! Shooting at distance requires an optic you can trust, so don't slouch on the glass. I'd sooner spend MORE on the glass, and LESS on the rifle...
I can appreciate your zeal & drive to jump into the 'deep end' of the pool. But trust me, you'll be much better served to start at the start, and get proficient with a manageable and relatively affordable 'mid-range' cartridge at 'mid-range'. Concentrate on that, FIRST! Once 600yds becomes boringly easy, then you can worry about stretching the legs a bit further...
Don't buy into the marketing hype of those 'turn-key' 1000yd hunting rifles. Without the skills required to operate them, you're no further ahead than with any other rifle.
The difficulty of distance shooting increases exponentially, so shooting @ 600yds in NOT 2x as hard at shooting @ 300yds. It's more like 10x as hard

And once you get much past 700yds, you'll see how humbling even a minor shift in the wind can be! It will show you in sobering reality what it takes to even consider attempting to take an animal at that range! Heck, I
didn't shoot over 20 whitetails this past season, just because I didn't feel 100% about the shot. And that was with a VERY capable rifle and proven equipment. Yes, I had just as much fun watching them walk away & hoping for another crack later on.
Experience will allow for that enjoyment, so don't ever be in a rush to shoot game at LR. Things can & will go south in the blink of an eye. That's another tip you'll hardly ever see on a LR tv show. They're in the business of selling equipment, as are some websites, always keep that in the back of your mind on your quest toward learning. Some will push you in a direction, the direction that puts $$$ in their own pockets. Nothing wrong with that, just be aware of the potential bias factor.
Start at the start, don't get ahead of yourself! Sometimes, the ride is just as enjoyable as the destination. A 6.5Creed @ 600yds will get you well on your way to your ultimate goal...
Good luck & have fun!!!