Well done Leatherbark- years ago, in the mid 80's- maybe early 80's, we, the black powder shooters of the Rod and Gun Club used to have a sort of contest day in March, hunting bunnies. In our case, they were snowshoe hares. Since there was a good 6 to 8 feet of snow on the ground, we wore snowshoes - impossible to hunt without them.
On one of those 'hunts', I used Taylor's Brown Bess - a Lyman version ,75 cal.(11bore) I don't remember the particulars, but seem to recall about 3 drams of powder and requisit cushion wad, 1 1/4oz shot and overshot card. It worked well indeed - rather, even with my flinch, I managed to bag a few bunnies.
In subsequent years, I used a rifle, same as everyone else.
Smoothbore smokelpoles shooting shot can be VERY effective.