I would suggest 2 syntopic reads one as you describe but an additional on on more than one script. Since you intend to write for a particular show you will need to know the characters as they already are. A syntopic read to help you to get to know them seems important for this progject. While studying a book on creating a character viewpoint is a great idea, without a study of the existing characters you risk 'changing them'.
If you have a clear purpose what you want from the books you can always PhotoRead them one after the other, just mentally remember your purpose/intention upon opening and closing each book, it only takes a couple of seconds.
alex.
