I stopped back to post in this thread. I read it before, but wanted to reflect first.
Over the years, back in the mid-80s, I read several articles, mostly in Peterson's Hunting, in which various authors opined that for deer, typically 1,200 pounds of remaining energy is needed for a clean, one-shot kill. Others countered with the assertion that only 1,000 pounds remaining energy is required for a clean, one-shot kill on deer. For what it's worth, the opinions were 2,000 and 1,800 pounds for larger game such as moose and the big bears.
To my point, what caliber you use is less important than the accuracy, your shooting capability, the bullet construction, and the bullet's design. If the rifle isn't accurate, it's all for nothing. If you can't hit the target cleanly, it's for nothing. To try to use a large hollow point, such as the Sierra Game King HP, will not serve you as well due to the inferior ballistic coefficient. A projectile with a spire point and a boat tail design will be best for the long range shots due to ballistics.
My other concern would be a projectile that would have the structural design to expand reliably, consistently at lower velocities. Some, such as the Nosler Partition will still expand, and contribute the structure to penetrate into vitals. This is going to be important if you opt for a .243 Win, which with a 95 grain projectile, exiting the barrel at 3,200 FPS, will have just over 1,000 pounds energy at 500 yards. What I like about the .243 Win and the 6mm Rem is they have a trajectory that rivals the .25-06 Rem and the .270 Win, but lower recoil. Lower energy too.
I have used the .24 calibers and the .25 calibers with success at long range, specifically the 6mm Rem and the .257 Wea Mag. The other cartridges I have used for long range include the .270 Win, the .300 Win Mag and the .300 Wea Mag. All five of these cartridges dropped the game with a single shot, some faster than others. But the consistent factors across these cartridges was 1) accurate rifles, and 2) I practiced nearly daily at 500 yards. As such, for me, a 500 yard shot was common place. I didn't take 500 to 525 yard shots because I wanted to, these were open bean fields and no cover available.
From my experience, any cartrige designed from the .308 brass (.243 Win, .260 Rem, 7-08 Rem or .308 Win) will work. Any cartridge designed off of the .30-06 brass (.25-06 Rem, .270 Rem, .280 Rem or .30-06 Sprg) will work. Yes, the magnums reach out with more terminal authority, but the cost is higher ammo cost, and higher felt recoil. If I were to select one or two cartridges as eminently effective, with mild recoil, I would suggest a .270 Win or a .30-06 Sprg.
What's my opinion worth? Not much. It's simply my reflection based on several hunts, that ended with successful one-shot kills at ranges form 300 to 525 yards.
Geno