With my 8 twist 6mm AI, I once shot a big chuck with a 105 Hornady AMax (red plastic tip-discontinued) at 300 yards using a case full of H1000. It killed the chuck instantly but passed thru with no apparent damage. I then went to a 10 twist 6mm AI using 87 Vmax bullets at just under 3,500 using a case full of VN165. I have shot a few chucks, one at 800 yards, using the 140 grain Sierra GK out of a 6.5-06 and it killed quickly.
My guess is that the 108 Berger should do just fine but without spectacular visual effects.