Well in that case, go with the 6.5x47 Lapua.
Mine is shooting the 130gr Bergers at just over 3000fps and is a joy to shoot.I have a muzzle break on it. That is out of a 26" barrel, so you would be at about 2950 with your 24 1/2" barrel.
I am not familiar with the CM, so I cant comment, but you would be very happy with the 6.5x47 Lapua.
How much powder and what kind are you using to get those results?