I'd suggest a Savage 10FCP,Remington 700 5R Mil-Spec,or the Tikka T3 Varmint. If you just have to have a muzzle brake,then have a local gunsmith thread the barrel for you,but a 308 doesn't need a brake on the barrel,unless you think a 22lr has recoil.
While the stock on the Savage 10BA looks cool,it's heavy,has to be shot of a bipod/bags,and is a PIA to tote around.It is a very unbalanced rifle to try and carry.
This is what the Savage 10FCP looks like,but this is my 110FLCP 25/06,I can't find any pics of my 308. Cabelas sells an exclusive 10FCP with the Choate Tactical stock (same as photo) for around $700.