As I mentioned, the wedge and the spring do not have to stick out of the side of the barrel flat but now that you've gone to the work to make it happen I'm sure you will feel more comfortable with it.
Anyway, 25 minutes.
That's how long it took me to change my Colt pistol so the barrel is properly shimmed to prevent any chance of the wedge pushing the barrel back to the point that it could lock up the cylinder.
To do this I removed the cylinder from the revolver and with the barrel wedge out of the way I installed the barrel onto the arbor with the lower lug to the right of where it should be.
I then noted the overlap of the lug with the forward part of the frame and measured it with my dial calipers. It turned out to be about .110.
This measurement is an approxiate value because the jaws of my caliper couldn't get down in there like they should.
I then measured the diameter of the arbor which in my case turned out to be about .430.
Looking for some stock that would be slightly smaller than that I found a fired .223 case that fits easily into the arbor hole in the barrel.
Using a hack saw and a vise I cut off the casing so I would have a piece that was about .120 long.
It happens that with this case, there is still solid brass in this area so I ended up with a piece of brass stock that is about .120 long and has the primer hole in the middle.
Again, with the barrel lug to the side of the frame I dropped this down into the barrels arbor hole and installed the frame/arbor.
The barrel lug was standing well away from the front of the frame so I removed the brass piece and started filing.
I continued this assembling and filing at least 6 times before the barrel lug got close to the front of the frame.
Measuring the brass piece it was now down to about .090 thick.
Carefully filing to make both sides parallel I reduced the thickness down to about .085.
At this thickness the barrel lug just touched the front of the frame.
I then removed the barrel, installed the cylinder and after rotating the barrel to align the lower two pins I pushed it onto the frame and noted the cylinder gap. With the cylinder pushed to the rear, the gap is about .012 which is about right for a black powder pistol.
At this point I removed the barrel and degreased the barrels arbor hole with denatured alcohol and applied just a small drop of epoxy to one side of the brass piece.
Placing this on the end of the frames cylinder arbor WITH THE EPOXY UP (away from the arbor) I installed the barrel onto the arbor until it bottomed. I then removed the barrel from the frame. The epoxy is setting up as I write this.
I should mention that the wedge does NOT stick out of the side of the barrel (it is flush with the side) and the little spring does not catch on the barrel flat but I'm totally happy.
I need to mention that the measurements I got will be totally different on any other pistol because there are a number of manufacturing tolerances that lead to the gap between the arbor and the bottom of the hole in the barrel. Each one of these tolerances will change the resulting gap so there is no way other than hand fitting to properly install one of these brass or steel shims.