Ehrman looks at the progression of translations of the Bible through four routes to the wording used in the most famous versions. While he doesn’t focus on the internal battles over which books would comprise the bible, he does cover that in passing.
And I’m sure he goes into that in more detail in one of his 50 other books on Biblical history.
Try Asimov’s Guide to the Bible (available at Amazon).
I read it years ago in two parts; I recently bought the Omnibus (Old and New Testaments) edition and am re-reading. He gives a balanced, historical perspective to the matter. It doesn’t include recent thoughts on Bible scholarship, of course, but it’s a good place to start.