I shot a Pedersoli Bess for 3 years and used it for deer hunting. Killed two bucks. I used a patched .715 ball and .015 patch lubed with mink oil over 80 grains of 2f Swiss. Loaded easily and gave good 50-yard accuracy. You might have experienced the thrown shots from not aiming consistently which is very important with the Bess. Just a small change in cheek-weld and barrel up-tilt will make a big difference at 50-yards. I never swabbed until I needed to from hard seating of the patched ball. The target below was shot at 50 yards from a rest IIRC.