John,
Precision Shooting magazine ran three articles, written by Dave Beisner. Dave was the 1995 1000 yard Heavy Gun Champion. His rifle, "Sweet Pee", was a .308 Baer, built by Bruce. I have those articles if you'd like them? They were titled "Loading for Baer", "A case for cases", and I don't recall the third title.
I killed a groundhog on our ranch, at 1805 yards (took two shots) using Dave's rifle. AM in the VHA 1500 yard club. Dave killed a Groundhog later that Summer at 1625 yards with Sweet Pee.
Most impressive was that Dave barely missed killing a hog SEVEN times at 1920 yards (that Whistlepig had a serious IQ problem or just a simple death wish).
The .308 Baer will 'repeat' extremely well. 2000+ yards is gonna take some doing, but it's possible. (Every time I read in VH about someone shooting a Praire dog at 2000 yards, or for heaven's sake 3000 yards, with a .308 Ackley Improved using 220MK's I chuckle. I wonder if folks reading ever took Physics, or can read with a critical eye?)
All barrels differ slightly, but I believe Jerry Teo's suggestion of 2900-3000fps with the 240 Sierra MK's is pretty good average. (I'm shooting them out of my .308 Baer at MV=3009 fps., ES=7fps, SD=3 on my loads....measuerd w/ Oehler 35P. I'm using 83 gr. of RL-25.)
Sweet Pee weighed 53 lbs (w/o a muzzle brake) and generated a measured 16.43 ft-lbs of recoil. With a Muzzlebrake, 9.716 ft-lbs. of recoil...a 40.86% reduction in recoil. Bottom line, use a brake.
Stick with RL-22 or RL-25 powder, Fed 215 MATCH primers, Norma .375 H&H brass, Sierra 240 gr. MK's.