I put a ZP5 on my Tikka T3X Varmint with a Talley 20 MOA scope base. Using the Seekins Low (.92") rings, the rubber ring on the screw on cap just barely touches the barrel. Without the cap it has plenty of clearance. Using the Seekins High (1.0") it works just fine. See attached pictures.
So. It might work on your CTR because I think the barrel is smaller in diameter. If you use a different cap it will probably work. If you use a sunshade it might work because I think your barrel has some taper. You can also sand or file down the scope cap ring and make it work. Conclusion is try it before you buy new rings.