Is there a special virtue to Surat Al-An'am, and is a supplication answered if it is made between certain verses of it, and is it permissible to dispose of a book that addresses this topic if the answer is in the negative?

There is no specific supplication to be recited during the recitation of certain verses from Surah Al-An'am mentioned in the books of Sunnah. It is advised not to read books that contain unreliable hadiths for those who cannot distinguish between authentic and weak hadiths. Such books should be handed over to specialized scholars.