edited for typos.
This is a long reply that equates to buy a Nightforce NX8 4-32x50 F1 scope, which should run you right around $2100. And I wouldn't buy something nicer if I had more money, I would buy more scopes and rifles. At a certain point, you have to accept you miss because of you and you can't "buy" your way to more accuracy unless you pour $10k into precision reloading equipment... and then you can convince yourself for eternity that if you just that "other" die or "other" press (etc, etc), you could shoot even better.
Scopes are highly subjective. The difference between your eyesight and mine will have a huge impact on your preference for a 56mm objective with a 34mm tube and 30x power vs something with a 40mm objective with a 30mm tube and maybe only 18x power.
I personally like a large objective lens to optimize clarity and field of view, which is why all of my scopes are 50mm objectives or larger. However, I don't shoot far enough to need the extra vertical adjustment of a 34mm tube, adding a 20-25moa scope base is enough for me to shoot confidently to about 900 yards with a 30mm tube, and still have fun trying to impact at 1300 yards. I personally like a lot of zoom, I am a believer in 24x or more power on anything you plan to shoot 500 yards or further. When I'm shooting at 500 yards, I'm right around 16-18x power. And when I'm shooting to 1000, I'm maxed out up to 24x. I have shot at 1 mile a few times, and found it easy to see 24"x24" steel plate at 24x power, but the detail I was able to appreciate was lacking, and I'd probably buy a 30x scope if shooting 1 mile was something I wanted to do regularly.
I think you have put yourself in a tough situation because shooting deer at 300 yards is a very different scope than shooting steel at 1700 yards. In one scenario, a 10 or 18x power scope with a 40mm objective is more than enough, and you can literally save pounds of weight by going this route, while the other is going to be a 2lb+ scope that will cost you in the high 2k range just to get in the door. I was in a similar situation with my shooting interests too, and I settled on shooting out to 1000 yards, and rarely out to 1300 or beyond for fun. This allowed me to buy a proper rifle for deer and elk as well as a scope that didn't weigh 48oz (look at you Razor gen II HD).
I am a believer that FFP is necessary for making accurate and precise followup shots past 300 yards. With a FFP scope, I can literally see an accurate MOA or MRAD hold-over as my round impacts, and I just chamber another round, hold-over and pull the trigger again. FFP is awesome and has completely changed the efficiency with which I shoot. I'll go out with friends, and it's nice to look down my scope while they read me the elevation and windage, and I can hold using my scope instead of having to dial, and it also opens up PRS shooting which is fun too. This mainly has implications for hunting by saving a couple seconds that you might have to use to dial your scope when taking your first or second shot past 300 yards, but is nice at the range too. Within 300 yards, I can't see the reticle on a FFP, so it has no use for me in these scenarios.
Checkout this video from West Desert Shooter, he walks you through what a piece of steel looks like at 500 and 1000 yards between 10-24x mag: . In this video he compares a 24x scope to a 32x scope out to a mile: .
When I was last shopping for scopes, I bought a vortex viper pst gen II, the 24x 50mm ffp version. Great scope does it all. Weight is 31oz though, and has a max power of 24, which does leave me wanting at 1 mile. But it works fine for everything from 100-1000 yards, and its adequate from 1000-1700 yards for an enthusiast. I didn't have a 2k budget at the time, and the one scope that I would have bought instead was the Nightforce NX8 4-32x50 F1. You can find these in the low $2k range. These scopes have the mag to see at short distances as well as out to a mile+, the 32x max power is freaking awesome. I would argue this is a fine entry level 2k yard scope. They pack all this into a 30mm tube, which puts the final weight at 28oz. Sure you could argue this is on the heavy side for hunting, but it sure is light for shooting to a mile or beyond. It is simply the best. Get a 20 or 25 MOA scope base with it and you should have the enough elevation to dial past a mile if you are shooting big magnum rounds. Keep in mind, you will inevitably want to shoot 338 lapua magnum if you get hooked on shooting a mile+, and the weight of these guns often surpasses legal hunting limits (for example 16lbs in Idaho). Keep this in mind. While you might buy a scope that can shoot a mile, your rounds may not be as capable.
Anyway, I hope that helps.