My next idea would be to freeze the component then put the metal in hot water and see if the thermal shock would loosen the epoxy from the cover. Maybe that would allow me to check out the embedded part.
My god, why do you keep going to this idea? Step away from your shock theory. Epoxy is an adhesive, and it gets softer with heat. You do realize that a transformer of this size is just a bunch of very small copper wires wound around some poles, yes? Why would you want to subject such an otherwise working, hard to commercially obtain and highly conductive material to such an extreme situation? You don't have a faulty transformer, you have a faulty wire. Why are you trying to bring collateral damage into this?
I have extricated far, far more expensive (and truly unobtainium) PCBs from inches of potting with the steps I laid out above. If you don't have the patience for the battle ahead, then don't even begin. I have no stake in this outcome other than wishing a fellow musician a DIY victory, but it seems like you are not truly thinking your approach through here.
Again, best wishes for a positive outcome