If you can't find solder braid, try this: Find some fine-stranded, heavy gauge wire and use the solder of your connection to 'tin' the wire.
Use a stranded wire that has a lot of very fine copper strands. What some call zip cord or lamp cord that is used for making/repairing lamps. Many hardware stores carry this. Strip off a centimeter or half inch of the insulation. Dip it in liquid flux if you have any. Then heat the solder and the cord on your connection. Some of the solder will be transferred from your connection to the wire.
Hopefully enough is removed to be a benefit.