I then would look at a 257 weatherby. Both the 257 and 264 are plenty flat but theres a better selection of bullets and factory ammo available for the 257.
I'm a .25 cal fan & love the 25-06 & 257 Wea. & have used the 25-06 & a 25-06 AI on many a Whitetail, Mule Deer & Antelope. I find them not be be lacking at all for 400 yds.+ on Mature Whitetails or Mule Deer & though all of my Antelope thus far have been under 600 yds, they would have plenty of gas for that. But for Mitchell's application & I am looking at a similar potential, I would not advise the 25 for what was stated in the original post, (Deer & Hogs at 6-800 yds) The 264 with a 140 at 3200+ leaves the 25's in the dust for that situation, fly flatter than any commercial 25 at 600+ or 300WM for that matter & have the horsepower needed at long range.
When I started researching the 264, I ran the numbers on all of the bullet weights & found a really neat situation. With the lighter bullets up to 120 gr., they are very near ballistic twins, in other words 115BT vs 120BT, 120 Part vs 125 Part., except for now the new 120 A-Max & GMX gives a little more spread. So what I saw was a a 257 Wea. type performance with a huge advantage of having in the toolchest heavier 130 & 140 grain bullets with BC's & reduced wind drift thaat a 257Wea. just can't run with.