The rifle, powder, and bullet would do 200 yards. The question is whether the shooter has the skills to pull it off. When you start getting that kind of distance, it takes a lot of practice. In my case it would take some good optics as well. I am not a good long distance shooter, as I do not practice it. Still, the load your shooting should work.
I also am a fan of the heavier bullet. But I like all my bullets to be heavy.