I had heard, over the years, that the Armi-Sport 1861's were not that great, inferior to the Euroarms and and Pedersolis, etc. Now I don't know how that rumor ever got started. But I do know how such rumors get perpetuated on the forums.
I have an Armi-Sport 1861. It is absolutely perfect, gorgeous, top notch wood, not a single flaw in the entire gun. Metal to wood fit on every part is as good as any custom gun. Seriously. And it shoots very well. Even been running some round balls through it lately. But my point is, unless this rifle is a total fluke, a one of a kind perfect rifle that came off the line by accident, or was meant as a presentation piece for the Queen of Sheeba, and got shipped accidently, I sure would not pass on any decent deal on an Armi-Sport. Certainly anyone who puts the Armi-Sport in the same basket with the Indian guns is a.....wait for it....fool.
The trouble with Pedersoli is that anytime the Quality Control guys are sick or on vacation, they hire drunk monkeys from the zoo to take over. If you get a Pedersoli, just make sure you can actually handle it and inspect it first. Be careful of buying one online, or a new one from a distributor.
If you stick with the service load, or even lower, with the minie' and experiment a bit with sizing and lube, the service rifles will shoot ultra accurate. From what I have read, 45-55 grains seems to be a magic number. Where they will fall short on accuracy is with hunting loads, although that can be corrected with different kind of slugs, or ball. But it sounds like you will be paper punching, and again they are capable of very good accuracy.
Another thing about accuracy you might want to consider is do you want to shoot all day without wiping the bore, or wipe after "X" amount of shots. Shoot all day accuracy might be a bit less than wipe after five or ten shots accuracy.
On a Moruku (Miroku?) you might want to check the bore very carefully. I have two Miroku's with "lumpy" bores. Might want to run a tight oiled patch down the barrel on a jag, and feel for lumpiness.
Both my Miroku barrels are very early production, three didget (SP!) serial numbers, (within ten numbers of each other) and they probably corrected that problem.