I own several Sakos, and would never consider barrel bedding, or any other alterations unless it was a last ditch effort. I would go back and take a look at the total set up, check the screws that hold the action together to ensure they are tight, look at scope mounts, rings, etc. And you may also consider having a friend fire the gun to see if they get the same results you are. You didn't say if the gun was purchased new, so if it was bought used check to see if any alterations have been made to the stock or action. If it is a used gun you may consider glass bedding the action at this point if you see, or suspect alterations.
I shoot both the .243 and .244 both are tack drivers, neither gun has been modified, both are topped with V-X II Leopold 3x9 scopes. In the .243 I am shooting reloads, 100 gr Sierra BTSP, 33 gn IMR 3031, CCI Mag primer, in Federal cases. It is a moderately light load but extremely accurate, and has been an excellent deer round. I had to play with reloading for a while until I found the load the gun liked.