Sounds like your making headway. I would recommend that you go directly to the fermenator and not back into the BK. In a few hours you can drain off the heavy solids that settle out very easy. Less cool wart exposed to the atmosphere the better. Adjust your flow and get your desired temp first time through.
I was married for 10 years before my wife knew I drank.
Then one day I made a mistake and came home from work sober