What about the fact that I'm putting the chlorox in during the middle of the day? Doesn't the sun leach it right out of the water?
Yes, the sun will eat it up pretty quickly. Adding it in the evening is best...especially since it appears you have no CYA to help hold the chlorine in during the daylight hours. But it's still best to try to keep the levels up consistently when you're fighting in algae outbreak.

With a pH of 8.4 it may take several doses to bring it down to normal range. Your Alk is really high too...keep testing it. The acid will bring the Alk down, you need to get it down closer to 100. If the pH dips below 7.2 during your Alk/pH reduction process you'll need to bring it back up to the low 7's again. There is a thread dedicated to lowering your Alk.