How to teach from a tutorial-style book?
I'm concerned by your statement "That seems lazy" because it implies that you are focusing on yourself when really you should be focused on the student, specifically what the students are learning.

It is very easy for us to think from our own perspective but we must consider the perspective of student learning to be of primary importance.

If you believe the text is a good text (which you seem to) then it would seem the right path to take is to have students spending their class time working through the book (as a workshop) with you there to guide them if they get stuck or if they want some more advanced information.

In general, it's easy - that's good. Remember the old saying "Those who do, learn." So, you want the "students to do" rather than "you to do."