I don't know if this assists Lloyd, and it seems you have probably tried it, but if you can hear BiaB through the system's speakers, then you should just need to experiment with Audacity Recording Device settings to record the system's speakers:

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BIAB & RB2024 Win.(Audiophile), Sonar Platinum, Cakewalk by Bandlab, Izotope Prod.Bundle, Roland RD-1000, Synthogy Ivory, Kontakt, Focusrite 18i20, KetronSD2, NS40M Monitors, Pioneer Active Monitors, AKG K271 Studio H'phones