So anyway if you post the model I'm quite confident that I can help you get it rendered in Cinema4D without any trace of artifacts in the rendering whatsoever....

This has come up before where someone who was used to poly modeling just assumed that they were going to get shading glitches in Cinema4D when that was not the case, here is the thread:
http://moi3d.com/forum/index.php?webtag=MOI&msg=3533.1

And here was the rendered result of that:
http://moi3d.com/forum/index.php?webtag=MOI&msg=3533.11

The only trick applied to make it look totally smooth and perfect in Cinema4D was to ensure it got refined with enough polygons to avoid low poly artifacts.

So for example you mentioned previously that you are using "avoid smaller than" in your mesh settings - don't do that, as that avoids refining in areas and will produce a lower polygon result.

If you want a better quality rendering without low poly artifacts, you need to produce more polygons.

If you produce a low polygon output model, it will have low polygon related artifacts in it when rendered, that's pretty straightforward.

- Michael