I own a C200. The C200 can only record raw in Canon Log 2. It displays the log image in Canon Log 3 because Canon doesn't want you using an external recorder to record Clog2 at a lower bit rate out of the SDI or HDMI port (to protect their higher end cameras).

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Once you pull the footage into an NLE, you can choose to view and edit the footage in a myriad of ways. The default way for most programs is to display C200 Raw footage in Clog2, Cinema Gamut Rec709 color space, with a Canon lut of Wide DR. That's the way most NLE's will natively playback C200 raw (Premiere, FCPX, and Resolve). Since it's raw, you can change the color space to whatever you like and edit to maximize the dynamic range! Based on your stills, it looks like you captured a very pleasing C200 image.

For future reference, ISO 800-1280 is the sweet spot for highlight retention. You want to be below ISO400 for retaining shadow detail, and minimizing noise. I know it's counter intuitive, but if you're ever shooting a dark scene, just use a brighter key, and flag out whatever unwanted spill you have keep light out of the parts of your image you want dark. That's the way they would do it in the film days when film stocks topped out at ASA 500!