I created the flat-bottomed, straight-walled container from stainless steel. I used a carbide-infused fiberglass cutting disk mounted to a Dremel for both tasks.
All-State 11 FC Nickel-Silver coated brazing rods seemed like just the ticket, but it didn't work. Finally, I called the local Air Gas (where I get my gas cylinders) who sold me Radnor Safety-Silv 56 coated brazing rods. 😀 I used a natural gas-oxygen torch.