I have a theory that I have tested twice and want to do another couple of tests to make sure.
Your process above is roughly the same as mine, I use moss at 10 min
Chill with ic
Put it wherever gonna transfer from and give it a good stirring for about 30 seconds. Nothing to violent, just constant stir.
When it comes to opening the ball valve to drain, I start very slowly and increase slowly as I go.
The pressure exerted by the volume of wort at the valve creates a strong enough suction to actually draw materials from the central pile.
My last two batches have been relatively clear of tribe with a large pile in the middle.