If it's that important to you then here is what I would do if I were you.
I would add to my list of areas of responsibility "business improvement" because that is why you want to read right?
To improve your business practices. For example, if you read something in a business book that you could implement in your business that would cut costs, improve efficiency or maybe increase employee retention, etc.
The reason I would list that in the areas of responsibility first is so you have a stake in the ground that you can review and be reminded about in the future.
Then you are just going to have to schedule in a block of time for it.
That is the easy part.
The hard part is commiting to that block of time.
For me it was the opposite. i was and still am in a way a workaholic. I had to literally block in "fun and relaxation time"
It wasn't easy at first keeping up with my commitment to that time but it was important and an area of focus and responsibility that was seriously lacking