i like the remington 700. i also like my cheap marlin bolt action in .308. it shoots 1/2 minute of angle all day long, if i do my part.
as for flat shooting, the 30-06 or 300 win mag with the same projectile do shoot flatter. however, per the army, the .308 is good for 800 yards. if you are a marine, its good for 1000 yards.
(i am neither, just quoting their manuals.)
d.