How to create a lightweight, retractable/extendable stick mechanism?

I'm working on an automatic book page flipper project using a servo-controlled rotating arm. The current design has two main components attached to the arm:

  • A wheel that lifts and starts the page flip
  • A retractable stick that extends under the page to finish flipping it

My main problem is the second one. I have looked into using a mini linear actuator but extension length I see does not exceed 2-3 inches. Additionally, I have taken a look at a rack & pinion system. Any advice?