I want to be less ignorant about this. In my (admittedly brief) search, the problem seems to be finding anything neutral. I don't want to read any of the rah rah 'murica ones. I'd really like something comprehensive, with no specific point of view. Recommendations?
I've only taught America in Vietnam once (as a grad student -- you take what the department gives you, eh?) but I taught it from the perspective of the soldiers involved and relied heavily on what I think is a fantastic source Dear America: Letters Home from Vietnam.
The book is a collection of letters soldiers wrote home. They are often quite candid and emotional.
If you decide to read this collection, I suggest you pay special attention to the ranks of the letter-writers. Many readers notice a substantial difference in tone and content between enlisted soldiers and officers.
The main problem is that such a book has not been written. There are some great books covering individual aspects, but all general overviews usually have a dominant American perspective that usually tries to explain the origins of American involvement in the Vietnam War, something very dominant in the historiography of the Vietnam War. Although the use of Vietnamese sources have increased in the last decade, that has not resulted in a general overview that strikes a balance between the different perspectives (American, North Vietnamese, South Vietnamese and other nations involved). There have been interesting case studies in which such a balance has been struck, like in Lien-Hang T. Nguyen's Hanoi's War: An International History of the War for Peace in Vietnam but there has yet to be something made for a more general view of the war.