Mijmc, welcome. For swg, our recommended levels of operation are 3-5 ppm for 70 ppm cya, 4-6 ppm for 80 cya (see [fc/cya][/fc/cya] - this ratio is important and underpins the TFP method. )
So from your posting, it sounds like you've been operating closer to our "minimum, never drop below this number." For an swg, that means its entirely possible the ccs are coming from the FC's clearing of nascent algae. The TFP way would have you target 5 ppm during production so tat you don't drop below 3 when the swg is off.
"Shocking" weekly likely kept you from an outbreak, but would/should be entirely unneccesary if you operate at TFP recommended levels. By so-doing, I've now gone 5 years without ever needing to "shock".
Now that you're getting your own test kit, you should be able to dial in your swg to avoid ever needing to shock. And if you do need to bump it up a bit, just use liquid chlorine (if you wanna talk sports with the pool guys) or bleach if you want grocery store convenience
You'll want to confirm that youre at 70ish cya once you have your kit. I think you're going to enjoy the informed control you're about to get over your pool. It really simplifies things over time