Howdy
I have a little bit of experience with them.
Actually, all my Schofield experience is with originals, but I know a little bit about the Uberti replicas too.
This is a 1st Model Schofield. It shipped in 1875 and was refinished at the factory in 1957.
This is another 1st Model Schofield. It also shipped in 1875 but has not been refinished. Most of the blue is gone and the steel has weathered to a dark patina.
The first thing is, they all tend to shoot high, because the front sight is so low. Uberti replicas tend to shoot high too.
I really don't know how much luck you would have filing down the rear sight. The actual rear sight is in the latch, just in front of the hammer. In my experience with other fixed sight revolvers, filing the rear sight notch deeper does not really work to raise the point of impact. If one uses a typical sight picture, with the top of the front sight level with the top of the rear sight, the top of the rear sight would have to be filed down, as well as the V notch deepened. The V groove visible at the top of the barrel is really just a 'clearance' V groove. It is there so the top of the barrel does not block the view of the front sight. I have no idea whether or not it would have to be deepened as well, so the front sight can be seen clearly in a deepened V groove in the rear sight. Normally, the V in the top of the barrel is not seen when sighting in, but deepening the V groove of the rear sight might require deepening the V groove on top of the barrel so the front sight is not obscured. My solution is simple, I simply always try to remember to hold low, to compensate for the revolver shooting high.
Incidentally,
all the old S&W Number Three Top Break revolvers tend to shoot high because they all have short front sights.
This 2nd Model Russian tends to shoot high because of the short front sight.
As does this New Model Number Three.
Here is another solution to the problem of the old S&W #3 Top Breaks shooting high. An old coin has been substituted for the original front sight on this 1st Model Russian.
The same with this 44 Double Action. I had a gunsmith install an old dime to raise the front sight and lower the point of impact. This is easy to do because all of these revolvers had the front sight pinned in place. Simple to drive out the pin and substitute and old coin. The bottom of the coin has to be trimmed so it will fit in the groove in the barrel rib, but that is easy to do too.
Another thing about shooting the old #3 Top Breaks is most of them require more of a reach to the hammer spur to cock the hammer than a typical Colt style revolver. No problem if you are shooting two handed, but if you are cocking the hammer with the thumb of your shooting hand, you may need to regrip slightly to reach the hammer spur.
Here is the way I hold a Colt. Yes, I always curl my pinky under the grip. I have fairly large hands and I have no trouble reaching the hammer spur to cock it with this grip.
The reach is longer on most of the old #3 Top Breaks. With my pinky curled under the grip I cannot quite reach the hammer spur with my thumb.
With my entire hand crammed onto the grip, I can reach the hammer, but I tend to like to shoot with my pinky under the grip, which means I have to regrip to shoot.
I only shoot these originals with Black Powder, which is what they were designed for, and they shoot cartridges loaded with Black Powder very well with out binding up.
You may not be interested in shooting Black Powder cartridges, in which case this next point is moot. But Uberti made some changes in the design of the replicas that causes them to not shoot Black Powder very well. The original Schofield had a cylinder 1 7/16" long, which was perfect for the Over All Length of the 45 Schofield cartridge. When Uberti decided to make their replicas, they chambered them for the more easily available 45 Colt cartridge, as well as 44-40 and 38 Special. The OAL length of the 45 Colt and 44-40 cartridges would not work in a 1 7/16" long cylinder, the rounds are too long. So Uberti lengthened the cylinder enough to accommodate the longer rounds. However they did not lengthen the frame a corresponding amount to accommodate the longer cylinders. Instead they shortened the gas collar at the front of the cylinder. A longer gas collar as on the originals works fine deflecting BP fouling away from the front of the cylinder and the underlying cylinder arbor. The shorter gas collar of the Uberti version does not do as well deflecting fouling away from the cylinder arbor and the Uberti Top Breaks tend to bind up relatively quickly when shooting them with Black Powder.
This is not an issue if you only intend to shoot Smokeless ammunition.
It was the early Schofield replicas made by ASM were the ones that had a poor lock up and would often unlatch themselves when fired. The current ones made by Uberti do not have this problem.
Lastly, a 38 Special Top Break is going to be heavier than one chambered for 45 or 44, because the holes in the barrel and cylinder are smaller.