For anyone who noticed, the site was essentially down for a while. Turns out that Wordpress has a new "feature" that tries to figure out what directory the blog software is located in. It then (get this) automatically changes the settings.
What this means is that this alleged "feature" got triggered, and Wordpress started changing where it believed the site was located, over and over. This is a documented issue, so I was able to fix it with little hassle. My apologies to anyone who tried to view the site during the period between the breakage and solution.