Savage 10 FCP, 308, 24"
On a bolt gun in particular, I would not brake. And brakes typically do not suppress flash. They rather redirect it.
Main reason for a brake would be to achieve minimal muzzle climb during semi auto firing for faster follow up shots. You won't see the benefit on a bolt gun in my opinion.
For what its worth, the best recoil reducer is weight.
In the gun or the shooter?
I have the same gun, to me it doesn't recoil enough to justify a break. But if you decide you want one installed I can help