UPDATE:
Howard Maculsay was kind enough to send me some for paying shipping - thanks again, Howard!
I hadn't had time in the last couple of weeks - due to too many 1:1 projects getting in the way. However, I couldn't wait any longer, and decided to at least find out if this thing is going to work.
I made a crudely formed wooden handle (pic to follow soon) to hold the electrodes, crimped wire terminals on the ends of the rods, and tried it. Let me preface by saying that because I was in a hurry, I did everything incorrectly: I didn't clean the brass, used pipe fitter's flux with a q-tip, etc.
However, that didn't seem to matter! I soldered to roughly 1" sq pieces of scrap brass together with no problem, in about 3-4 seconds!
WAHOOOO!
It worked just as I had hoped. I have yet to try it on a piece that has another piece soldered near it, but will soon.
I am newly encouraged, and hope to refine everything a bit in the next week. I'll post pics and give you a rough idea of what I did, and how to do it better yourself...In the mean time, if you have any questions, please feel free to ask!
Thanks again for all of your comments/helpful suggestions!
Take care,
Matt