I think that your high alkalinity may be a red herring. Low chlorination for your CYA level is a more likely cause of dullness/cloudiness.

The Best Guess chart calls for an 8-15 ppm chlorine maintenance level for a CYA level between 100 and 200 ppm and your CYA may be well over 200. If that's the cause, the only cure is to consistently maintain a higher chlorine level.

The other strong possibility is that your high calcium is causing the problem; other than partial draining and refilling, I don't know of a solution for that.