First the barrel on an F-Class rifle is WAY too long for a 100-200yd benchrest gun. Second, it's not chambered in .22 or 6mm PPC (only being very slightly sarcastic here). The other thing that you have to consider is the bullets that you're shooting. Long, high-BC boat tails give up short range accuracy for the sake of long range consistency and resistance to wind drift. The bullets used for tiny groups at short range are all very light, all flat based and all pushed at mach snot.

IMO, you're focusing on the wrong thing. How does it shoot at long range? Last I checked, F-class is shot at much longer ranges than 100yds so group size at that range is not worth getting all down about. What is the standard dev on your muzzle velocity? That is going to have a bigger effect at 600yds than 1/3 MOA of dispersion. I've run the numbers, an SD into the double digits can have an enormous effect at range.