No need to stuff the bore w/ charcoal or anything else when charcoal bluing.
IF you are getting heat scale in the bore , then you will also have it on the outside surfaces.
That tells you that the bbl got too hot.
Sometimes the heat scale is mis-interpreted as a Charcoal Blue.
It can be a very thin and even coating of acceptable color to the 'smith, but it is heat scale. You definitely do not want that inside the bore.
Anything over or near 900F will produce heat scale on steel. That's the point that the metal starts to glow red. You are passed the point where simple temper colors appear. Heat scale will form at that point as the part is able to contact the oxygen in the air.
Keep it under that point and you will have the temper colors. Deep blue/black is what the 850F range will produce.
The charcoal blue forms when the part is kept at a temp around 830/850F.
Deep blue temper color is what it is. The last temper color on the chart.
After that and if the heat increases to around 900F, the steel starts to incandesce/glow.
From that point and forward is when heat scale can occur if the part is allowed to be in the open atmosphere. The previously obtained deep blue temper color is taken over by a gray color to the steel.
The same color can be gotten from a Nitre bath at the same temps.
The fact that the part never is allowed to go above the 850F point makes it possible to remove the part from either method and examine it & some burnish it down as well.
The same temper color will occur inside the bore or part(s).
Keep the heat under control and it will not heat scale.
Carbona Blue is also done at the 850F range. Same temper point with the addition of the char being sifted and dropped over the parts as they revolve in the chamber.
Some say the parts receive a bit of carbon in the surface from this process as well. I don't know enough of the chemistry of it to say.
What the sifting of the char over the surfaces does do is the same thing that repeated removal and scrub down of the surface w/ lime or other products does.
It burnishes and does seem to even up the color if that starts to occur.