Mikeh,
You are looking for a rifle that shoots accuracy groups out to 200 yards max.,( If your PH allows you to shoot that far)in the order of " Minute of Cape Buffalo". Most of your shots are going to be a lot closer then that.
Your rifle shoots presently well within "minute of Coyote" for a 200 yard shot. From the bench that is.
I think you should from here onward worry about your grouping standing offhand and standing, resting on a little tripod of sticks @ 50 and 100 yards.
If you can do 6 inches with full power hunting loads @ 100 yards consistently standing with the tripod you be doing well. Remember a 6 inch group means that your rifle shoots bullets within 3 inches of your point of aim. Purty fine for big buffs. Good enough for puny whitetails too.
Many big bore double rifles do 6 inches composite shots @ 100 yards from the bench. Truly good enough " minute of buffalo".