I've said it before and I'll say it again.
If I wanted to punch paper at 1000 yards I would get a Grendel.
If I wanted a hunting rifle I would get a 6.8. (Actually I got a Pair)
What some have neglected to tell you is that you will need a longer (read heavier) BBl in the Grendel to see it's potential than you would with the 6.8. To some, that may not be a factor but to a typical Elk hunter it probably is, as they typically cover more ground on foot than a deer hunter might, and alot more than a guy punching paper
.
At the distances you listed (300 yards) the Grendel is NOT superior to the 6.8. Neither the 6.5 or the 6.8 are ideal for Elk, but both can and have taken elk. Know your weapon, choose a good bullet, place it well and either choice will make you happy.
I will add that it appears that most people overstate the advantage of a higher BC bullet when it comes to hunting distances (typically around 250-350 yards Max for most hunters). Spend some time plugging numbers into a Ballistic Calculator and see for yourself that at those ranges and closer, In both drop and Drift, velocity > BC.
Look hard at a 6.8 for a nice hunting rifle. I've carried one on Elk, Deer, Bear, Coyote and Mt Lion hunts, and will continue to do so.
ETA yeah also what MPFD said. He's got it about right.