Fred: I am sure that Roundball can speak to smooties with Jug Chokes. With a smootbore that has no choke, the range you use your gun is dependent on the pattern delivered at a given distance, the size of shot used, and the size of bird being hunted. Dove don't take much to kill because they are so small. Most hunters will use #7 1/2, #8, or even #9 shot for dove. Ranges with an open cylinder gun are best kept to 25 yds. and under. A pheasant is a much larger bird to kill, and requires more hits, or a hit with a larger pellet. Use #4,#5,#6, and even #7 1/2 shot for hunting pheasants, and with the larger shot, you can kill the birds out to 30 yds with that open cylinder, and cripple them to bring them down at 35 yds. The same loads, using non-toxic shot, can be used at those distances on duck. On Geese, which can be much larger, you want to use non-toxic shot that ranges from steel BB,( .18 diameter, and not the .177 pellets used in air rifles. The two pellets are made of different metals, and the harder, smaller air rifle pellets will ruin your barrel of your smoothbore!)"T", #1, # 2, and even #3, if you can find it. Again, ranges are limited to 30 yds with that open cylinder. You can tighten the patterns some by using the Ballistics Products shot sleeve, made of plastic, and with lead shot, using the modern plastic shot cup often tightens the groups some. Many traditional hunters are not interested in shooting anything that involves plastic, and I am assuming you are one.
The only other way to tighten patterns is to make shot tubes from paper, or coin wrappers. Make sure to cut slits in the front of the tube to help it open up, just like the modern plastic shotcups have slits, varying from 4 to 8 typically, depending on how fast they want the shot released. How much tighter can you get those patterns with a paper shotcup? I am still fooling around with it, so I haven't found a definitive answer, but so far, I found one combination that seems to give me 50% patterns with an open cylinder gun. That's not bad, and extends my killing range from 30 to 35 yds. Since I rarely hit much less kill a bird beyond 35 yards, even with my modern choked guns, I am enthusiastic with my finds. I need to find out if this is just a fluke, or if these home made shotcups deliver that same kind of pattern time after time. That just requires shooting lots of patterns with each load, and a stack of Newsprint to record each pattern. Its been too hot up until now to spend the kind of time at the range to do this length kind of testing, but its been cooling down, and I may be able to get out and do it yet this Fall.
Read the material on Bob Spenser's site, particular the articles by V.M. Starr, who was truly the expert on Jug chokes, and patterns for BP Shotguns. Until there is some change in the air, or gravity on this planet, the research and results he found in his lifetime of work will stay valid, and there is really no point in trying to re-invent the wheel, or do this kind of research all over again.