A change in ammo and some practice
I'm a big fan of Single Action Shooting.
A Uberti Schofield in .38 Special has been on my list of things to get for quite a while now. I have several original breaktops S&W and an Iver Johnson that require black powder cartridges. Which means they have not been to a range lately nor probably won't. Same thing with an 1877 Colt Thunderer, too hard to find parts and just too old. (My Opinion) On anything made prior to 1899, I shoot replicas.
I have a Uberti Replica of an 1871 Richards-Mason Conversion of an 1851 Colt Navy that is chambered for .38 Cal specials ammunition. I use it with Remington, UMC, .38 Special 130 Grain, MC L38S11. Comes out at muzzle velocity 790 fps, with a muzzle energy of 173 ft lbs. Smokeless of course. So you might change the ammunition and see if it gets any better.
Shooting a SA Revolver is a different ball game than modern DA's of course. It takes some adjustment in the grip and familiarization with the required handling. Sighting depends of course on the individual weapon. I've never cut down a sight. I use Kentucky Windage for close range shooting, these things are not nail drivers.
Loading gates ushered in the break top era for revolvers such as the Schofields, which of course led to the swing out cylinder. All great stuff.