Update:
It's been a couple months of soaking for the Barley straw now, and I'm happy to report that it seems to be working! At least in my pond! So far.
There are no algae mats at all right now! Very little algae visible.
Everyone is happy to swim now!
Key factors -
Beneficial bacteria and Muck pellets are added every 3-4 weeks.
PH=7.2 , Alk=150ppm, Secchi=30"
Aeration=24hrs a day, when high daytime temps under low 80s,
=14.5hrs a day when high daytime temps above low 80s