I am getting old and I don't have the eyes I had at one time. But in my 30s and 40s I am my wife both did some exhibition shooing at times for fundraisers of various charities. She and I both had S&W M-19s in 2.5" and using handloaded ammo we would keep shotgun shells moving out to 100 yards with them. Soda cans at 100 were also used to show off. Nearly all shooting was done double action and rather fast. All was done with our own cast bullets and loads of unique. Now days I doubt I could hit a shotgun shell at even 25 yards, but I no longer have the money or time to shoot the number of rounds I could them (owning a bullet company is good for that). I bought lead by the truck load and powder and primers by the pallet load in those days.
But as has been said above, the question was "how far can you shoot a 2" 357 accurately...?
Its a question about the skill of the shooters, not the ability of the gun and ammo.
Bob Mundan, Jerry Miculek, Ed McGivern and others have proven beyond question that a good short barreled revolver with good ammo is very accurate and can be shot to extremely long ranges, if the man is capable of it.