You do not need to heat the barrel to a dull red. Get a low temp silver solder. Use the right flux. Calgon makes a heat sink paste that you can get at a welding or plumbing supply store. what you are doing is sweating the brake on. Apply flux to the barrel and heat. Generally when the flux bubbles you are hot enough. Touch the end of the solder wire to the object being heated . Don't melt it with the torch. The metal should be hot enough to melt the solder. If not, apply some more heat. Take an acid brush and wipe off the excess solder. If done properly, you should have a silver coating to the barrel.
Now do the same with the brake if you can reach inside the threaded portion. Next, install the brake. Apply flux and then heat. You can sometimes see the parts setting into place as the solder melts. If needed apply more solder. If you do it right the solder will be wicked up into the joint between the barrel and the brake by capillary action. Wipe off any excess solder with the brush.
BTW, apply graphite to anything you don't want the solder to adhere to. A soft lead pencil works good for this.
What you have done is called tinning. After solder is applied to both parts and the excess wiped off, you clamp them together and apply heat and flux. This will make a very strong joint. As a matter of fact, I silver soldered a reinforcement plate on my Tantal. At the time I didn't have a spot welder so I used solder. Worked great. Oh, and make sure you rinse the joint with cold water after the barrel cools. This will rinse off any remaining flux. Flux can be corrosive.
Hope this helps. Oh, I would never heat a barrel red-hot. That's a good way to ruin it. Also, a propane torch will work for applying heat.