Guess it depends what you want.
As far as BC.. the 300 has plenty of bullet choices with 500+ BC on par with the cm. But if you are going to shoot all day then a 300 will need a muzzle break and a counter weight to help with recoil. Everything gets spendy. You can sacrifice about 200 fps and go with the 300 WSM too. Shave a little weight off the rifle.
Hornady ELD -X offerings...
https://www.hornady.com/bullets/eld-x#!/#product-line
IMHO... Even though CM does everything else better than 308, it is still equal to 308 in effective range....which to me is about 800 yards. Afther that they both are out of steam and that is too far for most people to shoot anyway. A 300 mag laughs at that number. A 212 gr bullet starting out just under 3000 fps drops to 1000 ft/lbs of energy at 1200 yards....400 yards further than than the 308 and CM shooting much lighter bullets.