Augwest, IIRC the BBAM is a capacitive load with 40K input impedance. This could present a difficult load to an LSA passive. In my instance the challenge is compounded: I split the preamp's output between the downstream BBAM and a sub with 47K input impedance, yielding a combined load of 22K. With the AtmaSphere MP-1 preamp I can't hear any difference between the BBAM placed upstream or downstream of the preamp. However I bet that in your case placing the BBAM downstream of LSA will degrade performance.
I replaced the stock volume control in the Atma preamp with a balanced shunt LSA Mk I type volume control that employs a TX2575 Z-foil resistor in the series position and a Lightspeed/Silonex shunt resitor. This was a major upgrade. Some preamp builders will argue that most of the performance gains to be had in a top-quality active preamp are made at the volume control. Based on this experiment I tend to agree. For a true apples-to-apples comparison it would be interesting to compare your LSA passive to an active preamp with an LSA-type volume control. The only current commercial product I'm aware of that employs an optical volume control is darTZeel.
I replaced the stock volume control in the Atma preamp with a balanced shunt LSA Mk I type volume control that employs a TX2575 Z-foil resistor in the series position and a Lightspeed/Silonex shunt resitor. This was a major upgrade. Some preamp builders will argue that most of the performance gains to be had in a top-quality active preamp are made at the volume control. Based on this experiment I tend to agree. For a true apples-to-apples comparison it would be interesting to compare your LSA passive to an active preamp with an LSA-type volume control. The only current commercial product I'm aware of that employs an optical volume control is darTZeel.