Waves X Click to remove clicks
De-click will probably not work for something like this. You need a spectral editor. I can attest to the fact that Izotope's RX suite (which includes a spectral editor) is amazing. Easily on par or better than the Waves stuff. Waves doesn't include a spectral editor, or at least it didn't use to.
With the Izotope spectral editor you'll be able to very easily see the clicks and experiment with varying levels of attenuation. The first thought I had upon using it was similar to what I thought the first time I used a Little Labs IBP or Transient Designer...black magic voodoo, but it works.
Try the demo.
If you're in Pro Tools, the spectral editor or "spectral repair" as they call it is Audio Suite only...for obvious reasons.