High CYA and Draining pool

I have CYA above 110. I am also in AZ so draining the pool is not the best option at this time.
Can the pool be drained incrementally? We are using liquid chlorine exclusively now.
Thoughts are an extra long backwash and adding fresh water to dilute the CYA. From what I understand the CYA is heavier than water and will settle on the bottom of the pool. I am figuring a backwash with the main drains only would be the most efficient way of backwash.

Thoughts? Suggestions?

Paul