There seems to be a lot of variation in revolvers which I am not knowledgeable of.
I recently bought a Lyman 1858 Remington which I have not shot yet, but it is on a reduced frame based on the original 1858 .36 Navy pistols, it was made by Uberti. Someone said it may have gain twist rifling which is supposedly more accurate. Will see, I have high hopes for it.
There is a following with line shooters going to .36 caliber, due to less recoil.
In line shooters the following is with Remington 1858 for As Issue Matches.
Hands down the most accurate revolver is the Ruger Old Army in .36 built by Haegerman. If you can find one (which is very hard to do), they bring a premium price. First time I shot it at 25 yards was a 95-2X and at 50 yards it was 93-3X.
He took an Old Army, sleeved the cylinder with steel inserts, installed a Shilen barrel with a really nice front sight, upgraded rear sight and one of the nicest actions jobs I have seen on a revolver.
I have a weakness for revolvers and on my wish list is a Rogers and Spencer.