Take some time and make a good set of wooden jaws to fit the bbl.
That'll insure the thing will never slip while in the vise when breeching or unbreeching.
Maple or other dense hardwood.
Hog out a 1/2 cut in each block lengthwise.
Then fibreglass bed the bbl to a bit less than 1/2 depth into the blocks at the same time.
Use a paste wax on the metal as a release agent. I usually drape a piece of saran wrap over one 1/2 when I put the thing together to set so any glue doesn't permanently join the blocks together also.
It doesn't take all that long and it really makes a difference. If you have to use them on a finished bbl, you'll appreciate them.
In use, I wrap one single layer of newsprint around the bbl that has rosin on both sides and place the bbl in the blocks. Then the assembly into the vise and tighten.
Won't move,,won't scratch.
If you want close fit jaws like this but not have to wait for the fibreglass to set,,buy a couple bars of Cerrosafe casting alloy.
It melts at boiling water temp.
You make the same wooden blocks as above. Set the bbl in one half, prop it up where you want it with a couple toothpicks and simply block the ends shut with masking tape. Melt the Cerrosafe on the stove in a tin can sitting in a pan of water.
Pour the melted metal (looks like and feels heavy like lead) into the 'mould'.
Sets up and cools in a few minutes. Make the other half.
Use the set of jaws for the bbl'g project.
Recover the Cerrosafe metal by putting the wooden blocks in a pan of boiling water. The metal melts and rolls out into the bottom of the pan and collects in one glob. Let cool, and there's your blob of Cerrosafe again for the next project. It won't stick to the pan.
The main use of the stuff is for chamber casts in modern firearms. But I use it for filling & backing thin & flexible pieces and parts to be engraved also. Place them in boiling water when done and recover the metal as above.
I've been using the same Cerrosafe metal for 40 yrs.
Just don't get it on brass, copper, gold or silver,,it will adhere to those.