Or sure ... definitely a skimmer sock. That's an easy one. I can't live without mine. It grabs so much fine silt, dog hair, and bugs it's ridiculous. If the sock alone doesn't help with the really fine stuff, then some DE might be a good idea as well. At least for certain times o the year over there when that stuff kicks-up.
For CYA ... my pool is the same ... west-side blasting sun from dawn to dusk. Once you're algae-free like now, you evaluate your FC loss. If you lose more than 4 ppm per day, then you may want to consider increasing CYA a bit. Try in 10 ppm increments. My pool has a CYA of 60 right now (70 in Jun - Sep) and is just under 18K, so I lose (ideally) about 2.5 ppm each day which is about 1/2 gallon of 8.25% each evening. So now you know in the future if you are losing more FC than normal, or more than 4 ppm each day, it's either algae (SLAM) or loss to the sun (more CYA).