Hey!
Hmmm.... I will give this a shot.
When you said Magwires are they unshielded magnet wire type IC? If so it is likely that this is where you are picking up the radio signal. Especially if that the IC is longer than 1 meter.
Also, if your speaker are coiled in to a loop than you might want to uncoiled them. And this applied to IC also.
Ferrite core could be put around speaker and IC cable but I don't know how much it will help. And the ferrite core will change the sound of your system and you might not like that.

Anyway, good luck.

Take care,
Buddy