I made it through all 10 miles.
Seeing as how we hadn't exactly trained for this, I was figuring something in the 2 hr 15 min range would be about right (had been hoping for under 2 hrs) and running a little over half (maybe as many as 7 miles). Chip time was 1:59:48 (and that included a port-a-poty break at ~5.5 miles) and managed to run for a bit over 9 miles of the total, so I'll call it a qualified win. Win because of doing better than expected, qualified because I am still in pain today.
The Broad Street Run is a big enough local thing that I'm glad I did it once. Pretty sure I don't care much if I ever do it again, but that doesn't mean I won't. In the meantime, this: