I can't help with your question about the SWCG, but wanted to ask what your pH level is. (You said in your initial post that it was low.) Too low of a pH reading can damage your pool and equipment.

A few questions for you:
What kind of kit are you using? The volume of your pool is around 10,000 gallons. How much liquid chlorine did you add? What is the concentration of the sodium hypochlorite in it?

Why do you hate CYA? Without CYA, it is not possible to keep chlorine in an outdoor pool. With a SWCG, the suggested CYA level is usually around 80ppm although it varies a little from model to model. What level does your manual recommend?