I know what you mean about it calling your name.
I think that's a good plan because each book is very long, much longer than the average TellTale episode, so you'll be getting quite a bit of play time already. I actually plan on doing the same thing you are, playing from the beginning once all books are out. The way I play, I think I'm looking at a thirty to forty hour experience.
Even if you play it on minimal path, I'm estimating it will be over twenty hours.
Just to warn you, book 2 does end on a cliffhanger if that's important to you. I don't mind because I'm used to it will TellTale, but it does make me want book 3 as soon as possible.