Just for a real world example, My BK is a 55 gallon SS drum. I make either 30 or 35 gallon batches. I heat all my water in the BK. I have two 4500 watt elements in the BK. To heat 50 gallons of water from 50 to 160, it takes me about 100 min. The BK is not insulated. When sparging, I turn on the elements as soon as they are covered by wort. I am nearly to a boil by the time the sparge is completed. During the boil, I run the elements on 85% power for a 30 gallon batch and 90% power for a 35 gallon batch. 11,000 watts would clearly be better than 9000 but my GFI breaker is only 50 amps. I think you are on the right track using a minimum of 11,000 watts in the BK, although I think 16,500 watts would make for a shorter brewday.