(Part 2) Top products from r/Rhetoric

I would say a single book addressing the topics you are integrating would be difficult to find but either multiple books or a collection of essays and book chapters would be a good approach.

• Crowley and Hawhee's Ancient Rhetorics for Contemporary Students is an introduction and move for historical contextualization and working through the movement of the field. (Classical Rhetoric, Philosophy, and English Composition approach)
  
• Palczewski, Ice, and Fritch's Rhetoric in Civic Life provides some very basic ties to classical rhetoric and looks at the move to rhetorical criticism in contemporary rhetorical studies. (Communication Studies approach) (Link to first edition; the edition this comment is based on)
  
• Miller's The Norton Book of Composition Studies has essays that address the English and Communication Studies divide but situates rhetoric as an important study regardless of the discipline that thinks owns it.
  
• Eyman's Digital Rhetoric: Theory, Method, Practice gives a broad history of rhetoric and transitions this history into digital humanities. (Publisher's website link that has the full text of this book)
  
• Losh, Alexander, Cannon, & Cannon's Understanding Rhetoric: A Graphic Guide to Writing provides some significant background for constructing thoughts and arguments and situating what rhetoric is and what it can be.
  
• Dickinson, Blair, and Ott's Places of Public Memory is a fantastic edited collection with essays situating monuments and memorials.
  
• In a similar line to Dickinson et al., you could look at Hariman and Lucaites's No Caption Needed text to examine visual rhetoric as well or even their more recent text The Public Image.
  
  I don't know that any one of these texts would be necessary for students to purchase but a smattering of readings from them may be worth pulling into the course. Additionally, essays from significant scholars or journals (similar to what Miller's book has) that are reasonably up-to-date would probably go further than any textbook can. Although for understanding the Greek tradition or classical rhetoric, some of the tried-and-true texts such as Crowley and Hawhee's are a good place to turn.
  
  edit: added links to make it easier for me to find these things when I return to this post.

I would say that reading Burke directly is a really bad idea for most people. I found this book: http://www.amazon.com/The-Elements-Dramatism-David-Blakesley/dp/0205334253 rather helpful. It's concise and much clearer than reading directly from Burke.

The book does contain actual Burke passages but with some explanation before and after them. It really helps. Good luck!