Since your objective is just to get the LF signal out of the HF amp, a 6 dB filter set well BELOW the driver crossover frequency would be best. Such a filter will be "out of the picture" at the break frequency of the speaker system's built-in crossover, which you want to use.
Try 275 Hz. This will take most of the heavy lifting off the HF amp.
Try 275 Hz. This will take most of the heavy lifting off the HF amp.