You may be best draining the pool, and acid washing the surfaces. Most pools that turn green tend to stain the pool surface.
There are many companies in the valley who reasonably perform pool draining and cleaning.
They may want their first back!
Next, you should talk to a Pool Company; I would bet that you will have to drain the pool, clean the filters and start over.
Your family will be swimming in that, sucking in the water and dipping their eyes and ears in it;
Do you really want to cut corners here?