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Another option would be to create a noise preset from a section where only the music is playing, and see if AD can remove the "noise" while leaving the speaker's voice intact elsewhere in the track. You may have to make more than one preset and apply each one to separate sections if the music varies significantly, so some amount of trial and error is likely.
Save often and don't be afraid of using Undo whenever needed!
As you hinted it might, this took a little trial and error, and a couple (actually 3 or 4) different passes because the background music changed halfway through the speech, but it got me what I wanted. It also introduced a bit of a hiss but the Hiss Removal adjustment cleared that right up.
It's not perfect, but wow, it's darn close.