This will set all of your Adobe apps to have the same color settings so you can have more control of your color.

If you are choosing to use the High Color Awareness color settings, you need to install the Gracol 2013 CRCP6 ICC or you will have color issues.
How to install Gracol 2013 CRCP6
But if you can only print CMYK, what's the best way for me to predict what will happen when you actually print?
If you have the money, print a proof. Proofs start at $100. If you print a book project beyond $5,000 total, we include a unbound proof set complimentary.
If you don't or don't wanna spend the money, then use Output Preview and set the simulation profile to "Gracol 2013 CRCP6" or "Coated Gracol 2006" in Adobe Acrobat Pro. It's included if you have a creative cloud membership.