Uncaught PHP Exception: Query tagged for node access but there is no node table, specify the base_table using meta data
For anyone else running into this, I was able to get it to go away by checking all my blocks' permissions, especially the ones related to user information, and for me, the culprit was the User Activity Log block. Once I added the Visibility setting that only authenticated users had access to the block, the error went away.
Looks like the Drupal devs aren't having this module fail gracefully for unauthenticated users.