I wouldn't if I were you. Select a few conversations which are reflective of your relationship, spread out evenly over time, and try to keep the page count under 200 max. I just think 6000 pages is way too much. You want quality evidence, not just quantity. You can upload it to the USB and tell the officer you have 6000 pages on it if he/she wants to read it, but lord if you print it, that's gonna be one giant stack and if the officer really does go through every single page, imagine how much that'll delay your case.