It should do better than 3 to 4 inches, if not Weatherby has a accuracy guarantee and will fix it. I have 3 Vanguards and all are shooters. First get on a solid bench and shoot it at 100 yards. Try different ammo and if you are flinching try a different shooter.
I tried floating my 300 WBY and it didn't like it. I adjusted the trigger and got the creep out and put it in a B&C Medalist stock. That rifle will shoot sub MOA all day long with several loads. My 257 is the wood stock sporter and has shot sub MOA with about everything I'm feeding it. I just bought a 270 but it looks promising as well.