Chrome print preview redraw issue
In the past I have seen that Chrome print preview having issues when operating with items in stylesheets that are slow to process. The worst being @font import for web-fonts, recommended to be replaced in print or preview stylesheets with the standard fonts. Whilst these do not appear in your stylesheet above (thank you for adding this by the way), the * and ^ selectors you have in the css do trigger warnings for being slow and should be avoided anyway. I use CSS Lint for checking, not sure how much this helps, but it could be worth starting from a basic css to check what happens and then build up from there.
Could be hardware acceleration issue as stated on this website http://blog.getpostman.com/2015/01/23/ui-repaint-issue-on-chrome/
We went through all elements that had overflow: scroll; and added -webkit-transform: translate3d(0,0,0); to force better hardware acceleration on those elements.
Could also be similar problem of this >Parts of the UI keep disappearing in a Chrome app