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You might also take a look at a Savage heavy barrel.
If you want to shoot 20 round strings of fire, a heavy barrel is really needed.
New, the Browning and Weatherby and most of the others are out of your price range, used rifles are a crap shoot.
300 to 500 yards is medium range and most any caliber will do, but the .308 or the .223 with heavy bullets will offer great accuracy, and more available ammo reloading components.
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