I can hit the 400 yard gong at my range with my .22 shooting subs. Subs are way more consistent velocity, and supers drop out of sonic fast and behave very badly in the transonic. I can hit it every time on a still day. In the wind my % goes down, but it's still high. That's with a 56mm turret scope. I can see the splash through the scope, but I can usually only hear it faintly if there's no one else shooting and I don't have to wear hearing protection (suppressor shooting subs is movie quiet). .22 ballistics are terrible at range. About .16 is about all you're going to get shooting the heaviest 45gr pill subsonic. My scope is almost wound out at 28.2 mils at that distance and 334" of drop. It's amazing how the wind pushes that bitty bullet around like it was a four-eyed-nerd.
By Contrast a .50 caliber round ball has a BC of .07 or less than half of a .22 at almost four times the weight!!! It drops out of super sonic at even shorter range despite its speed, but it's hardly affected by that. Moving at 1,700 fps at the muzzle ought to drop 450" at 400 yards. That is really bad... REALLY bad. You would have to get a specialty long range turret scope or a 50 mil prism to even get that much travel, not to mention how hard it would be to hold that over with typical irons...
A .68 ball is dropping 377" at 400 yards, making it behave more like a .22. If you want to shoot balls at "long distance" it's like drag racing. There is no replacement for displacement. Bigger is better, period.
Lyman's Black Powder Handbook lists all the ballistic coefficients of pure lead round balls.
This round ball solver is pretty nifty because most solvers don't do round balls and you have to enter everything in manually. It does not give you the BC for comparison though, that you have to look up in the book.
http://www.ctmuzzleloaders.com/ctml_experiments/rbballistics/rbballistics.html
300 yards is a 13.5' drop, which would be a lot more doable. Unless you can raise the BC of that ball by making the bullet denser, I don't think fiddling with any aspect of the rifle is going to do anything. Round is just a terrible shape to cut through the air. You have to make the same size ball weigh more, or the range in The Year of Our Lord 1760 is going to be the same range today. Physics are constant. QED.