You can certainly try super-chlorinating to reduce CC, but without sunlight exposure you may find it difficult. So yes, super-chlorinating with the top kept off and exposure to sunlight during peak hours around noontime would be best. The non-chlorine shock suggestion is only a fallback if the "standard" methods of chlorine and sunlight are not available.

Of course, if you're not measuring CCs then you have nothing to worry about anyway. Start by measuring the CC level first, then only if there's a problem (> 0.5 ppm) try options to lower the CCs.

Richard