Umberto Eco wrote a fantastic book called <em>How to Write a Thesis</em>. Chapter 5 of the book might be what you're looking for where he covers how to write so you have a more elegant thesis / essay. There's an excerpt for that chapter here
I'm a bit of a neophyte, but a lot of folks found Eco's <u>How to Write a Thesis</u> helpful. I found it helpful for smaller reading and writing projects.
Unfortunately, I think logic has very limited usefulness for this sort of thing. In many logic books, the first chapter or two discusses very general concepts related to arguments (premises, conclusions, soundness, validity, etc.), and there may be some exercises where you extract a formal argument out of a paragraph. But after that, many logic books start getting into technical topics that really have nothing to do with argument analysis or writing.
I think you'll find more value in books/guides that are specifically about writing a thesis or research project. For example, there's Umberto Eco's How To Write a Thesis.
You might also be interested in books like What is the argument? which includes lots of "argument diagramming."
If you really want a book that's specifically about logic, then I think books on informal logic are going to be most helpful to you. Unfortunately, I don't know much about informal logic, so I don't have any particular book recommendations.