These facilities rarely if ever forward mail. The only time i might happen is if it's within the BOP. The book will likely get lost in the system, we're afraid. You can definitely send letters without being on the mailing list.
https://www.inmateaid.com/ask-the-inmate/if-i-send-a-book-from-amazoncom-to-county-jail-and-they-are-moved-before-it-ships-will-they-forward-it-to-the-inmates-new-location-can-i-send-an-inmate-a-letter-even-if-they-do-not-have-my-name-down-on-visitation-list-etc#answer
Accepted Answer Date Created: March 15,2014