Wiimote all the way. I tried using the CCP and I did terribly with it. I've never really played fps before this game and when I have played on Xbox or PS I never liked the controls. The Wiimote really was built for shooters, cause it just makes sense. If you are having trouble with the Wiimote try the control settings from this thread.
I use these, with a few of my own tweaks and they are awesome settings. I know some of the top players use these control settings.
Oh, I don't use the Zapper or anything, just the Wiimote condom that comes with them.