I have had my Judge for a number of years now. I opted for the 2.5" chamber because it gets just a little better accuracy with the .45LC. IMO, the 3" cylinder has too much throat for the bullet to jump for any degree of accuracy, JMHO. Mine is also a rare 4" barreled version. I really don't think this has much effect on the shot gun rounds, because that rifled barrel is not what shotgun rounds are looking for when they designed them. But my BIL owns a trap range and he told me they have had a guy who comes out shooting a 6.5" Judge with good results. He said it tends to wow the other shooters.
I have never looked at whether a .410 shotgun round was high velocity, or not. What I do look for is: 1. Hardened, or plated shot. Soft shot in the Judge deforms soft shot in the rifling causing it to sail. I have seen a Judge shooting .410 #000 buck shot (soft shot) only land one pellet on target at 5 FEET, not yards, but feet. If you go with soft shot, no matter the size or power, accuracy will be terrible. 2. A shot cup is very good. The shot cup Federal puts in their PD #000 Buck with copper plated shot is good enough that at 25 yards it will put all the pellets in the 8 ring on a B-25 full silhouette target with my Judge. I have found almost all trap, skeet, or clays .410 loads (#8, #8 1/2, #9) are hardened shot.
This time of year, my Judge stays loaded with these clays rounds because of the snakes. I typically kill 6-8 snakes, almost all Copperheads, every summer. A few years ago, I took out one that was a good 20 feet above me up in a tree with one shot. BTW, these loads are also good against tree rats too. Now I think the Federal PD Handgun #000 Buckshot in 2.5" .410 is the best SD load on the market. I routinely put all the pellets in the 8 ring with my Judge at 25 yards. If presented with a shot on a deer at 25 yards, I would not hesitate to use my Judge on it. At home defense ranges, you are probably going to have one big hole. Do not waste your time with .410 slug loads, you are always better off using .45LC instead. I use Speer 250 grain Gold Dots in my Judge and I get good accuracy at 25 yards shooting off hand standing unsupported.
Oh, BTW, several of my neighbors who have seen me use my Judge on snakes, have gone out and bought themselves a Judge.
My Judge.