This website tipped me to key secondary articles on Richard M. Weaver’s rhetoric. I’m going to link to the actual article or to the host site.
Bradford, M. E. The Agrarianism of Richard Weaver: Beginnings and Completion.
Haskel, Robert and Hauser, Gerald. “Rhetorical Structure: Truth and Method in Weaver’s Epistemology,” The Quarterly Journal of Speech. October 1978:233-248.
Johannesen, Richard L., “Richard M. Weaver On Standards For Ethical Rhetoric,” Central States Speech Journal.