This Les Baer Wadcutter will hold close to two inches, even though I can't:
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I am certain this custom built M1911 would meet your criteria, but the guy who built it, was using it.
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Having competed in Bullseye Pistol for a couple of years now, I am going to say that expectations of shooting three to four inch groups, offhand, at 50 yards with a handgun, are extremely optimistic. In Bullseye shooting, that is with one hand, I have seen a number of 99's, more 98's, at 50 yards. The ten ring is four inches at 50 yards. It is rare that someone places 10 shots within four inches at 50 yards, but mind you, these guys are shooting offhand, with one hand.My goal was to keep all shots on the repair center, something I have done with a 22 lr. I would have to check to see if I have kept them all in the black, with a 22 LR. I most certainly have not met either of these with a 45 ACP. Maybe I will get there.
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I am certain with a rest, groups will be tighter, but it still seems to me, that a four inch group at 50 yards with a handgun will be very hard to do on any consistent basis.
To shoot on the Bullseye Pistol range at CMP Talladega, all you have to do is qualify. Qualification consists of shooting ten shots, at 25 yards, or 50 yards, at a paper target, that has the same approximate dimensions of the center of this electronic target. That is, the part inside the white plastic frame.
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If you keep all ten shots within two feet by two feet (paper target size) at 25 yards, then you can shoot at the 25 yard electronic targets. If you can keep all ten shots on the same 24" square paper target at 50 yards, CMP will let you shoot your handgun at 50 yards. When I qualified, out to 50 yards, in front of the firing line was a huge pile of 380 brass. Seems a large group out of Atlanta came out, and not one qualified at 25 yards, and they had to go shoot at the plinking range. In fact, I noticed, that the Rangemaster at the Bullseye range got to know me by name. It turns out, to date, the number of people who have qualified at this range, is around 50 shooters. There are a lot more people who think they can shoot three or four inch groups at 50 yards, than can actually place their shots, within three to four inches at 50 yards. You see, expensive equipment will not compensate for a lack of shooting skills.
By the way, CMP will toss your butt off the range if you hit that plastic frame more than two times, in a practice session. These are after all, $15,000 targets.