Posting a picture would be helpful.
If it is a TRUE BRAKE, then there should be a "wall" at the very end of the muzzle. A brake will have a chamber for gas expansion, and then a constriction. The bullet will go through the brake, then the gas expands into the brake and is limited by that constriction.
If that's the case, you simply open the end of the brake and then you turn your muzzle brake into a flash hider. It *should* greatly decrease the sound coming off the muzzle and back to the shooter.
More than likely, the muzzle brake is not part of the barrel, it's probably threaded on. You could concieveably have the muzzle brake swapped out with a flash hider that would bring the barrel length back to the requisite >16" Overall.
Are you SURE that the barrel length is 16" to the muzzle brake?
You can measure the length of the barrel by putting a cleaning rod into the barrel all the way to the face of the bolt. Mark the rod at the muzzle, then pull out the rod and measure from the end of the rod to the mark.
A picture will be of great benefit for us to help you further.