The rain definitely will slow you down physically (brushing, etc) but, unless it's overflowing your pool, it won't affect you much chemically speaking.
So I'd say your CCs are still between 0.5-1 ppm. Keep up the SLAM. Since your water does have CYA in it, going a few ppm above shock level is fine. With all the rain and your busy schedule, the extra margin helps.
And yes, you need DE. The cloudiness is from fine particulates, aka dead algae. Sand filters are not the best at filtering out fine particle so you need to give it a little help.
Can't wait to see the picture of your sparkling awesome water.
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