There are some issues that would have to be considered before driving the sub from the preamp.
Most or all of the BK subs have line-level input impedances of only 10K. The input impedance of your power amp is 30K balanced and 20K unbalanced.
If you use a pair of balanced y-adapters to drive both the power amp and the sub from the preamp's XLR outputs (assuming the sub provides XLR inputs) the preamp would see a combined load impedance of (30 x 10)/(30 + 10) = 7.5K. That is too low a value for some preamps, especially some tube preamps, to drive without sonics being adversely affected. Which preamp are you using?
If instead of using balanced y-adapters you drive the sub with the preamp's RCA outputs (assuming those are main outputs, not tape outputs which would not be volume controlled), and if the preamp does not drive those outputs from an output stage that is independent of the output stage driving the XLR outputs, the balanced signal path to the power amp will become significantly unbalanced (as well as possibly becoming excessively loaded), probably affecting the sonics of the signal path to the main speakers.
In any event, although opinions and experiences differ, many people consider it to be preferable to drive a sub from the power amp outputs, so that the sonic effects of the power amp are reflected in the signals that are received by the sub as well as by the main speakers.
Regards,
-- Al