Latest update: Two more calls this afternoon.
First call - Completely useless. He tried to read to me from the same script I've mentioned before (basically, how the quest works). I asked to speak to a supervisor, but apparently they were all in a meeting (how convenient). The only interesting thing to come from the call - Allegedly, the "higher-level consultants" were not working at this time (about 1:15 PM Eastern). I asked when they worked so I could call back and was told that information couldn't be shared. I'm not sure how true this is (especially based on my second call), but maybe lunchtime in the US is a bad time to call.
Second call - Most promising interaction so far. I was transferred to the tech team, which had also happened a few times earlier, including the call when I was disconnected (when I thought a solution was imminent). This call was answered by Ken (the earlier tech call that disconnected was with Christian B.). MAJOR LESSON: Ask to be transferred to the tech team immediately any time you make a "missing content" call. No matter what, "missing content" calls initially start with a rep who can only give basic troubleshooting advice off of a script that he/she doesn't really understand. (From this ordeal I've found some of the tech team is no better, but the odds are greatly improved.). After a quick explanation of the issue, Ken clearly understood me and contacted a specialist (I think he said someone in the "SUJO" group or some similar-sounding acronym) to see if either (1) the NPC of SSB could be placed in my town (to start the questline) or (2) they could "force finish" the questline to award SSB. Someone in the "SUJO" group told him they could "force finish" the questline, but it'd take a little while (up to 24 hours). (Sidenote: Maybe the first rep was right and the "higher-level consultants" really aren't working right now so it couldn't be fixed just yet? Or maybe SUJO is that group and they're just a little backed up?) Either way, Ken told me I can keep playing as normal for now, but to request an update if I don't have SSB in my town within 24 hours, and he left the case open. I'll report back later.