For a CYA over 100, you need to be keeping your chlorine levels between 8 and 15 ppm at all times to keep the algae away, so you need to get some chlorine in the pool ASAP or you're going to undo all the work you've done. In a 26K gallon pool, each gallon of 6% bleach that you add will raise your chlorine by just over 2 ppm, but not quite 2.5, so you can use that as a guide. Since your CYA is already high, I absolutely would not advise you to use dichlor powder or trichlor pucks in this pool, as the CYA will just keep climbing through the roof. I would use plain, generic, unscented, household bleach. Check the label, make sure it's 5.25 or 6% in strength.

Generally we recommend maintaining the shock level until you're not losing any chlorine when testing at night and again in the morning before the sun hits the pool (to rule out any chlorine loss due to sunlight). There is no danger to you or your family from the algae, per se, but if there is algae growing in the pool, then that means there's not enough sanitizer present to kill off any other viruses or bacteria that may be in the water. Also, with a cloudy/milky pool, there is a very real danger to anybody that gets into the deep end and is having trouble but cannot be seen by others around the pool. I would wait to swim until you can at least make out the bottom, and until you're not losing any chlorine overnight. At that time you can let your chlorine levels drop to normal, but never less than 8 ppm as long as your stabilizer is that high.

Aeration can be done via fountain, splashing kids, or just by pointing your returns upwards so that they cause a ripple in the water.

Janet