Welp, I got impatient, and went to Radio Shack to buy their soldering station. I still have mine coming in the mail, but its ground from Arizona, which may as well be ground from Alaska.
I soldered the header pins onto the board, and also managed to solder the memory chip on the Sparkfun PCB as well. This stuff is tiny, but fairly managable. I used a naked-eye to do the work, checking it with a magnifying glass.
So far so good. Everything has continuity from chip to the solderless breadboard, and there are no shorts….
Stay tuned as I try to use this memory to see if I didn’t fry anything.