If the grounding electrode can ever carry power-system fault or surge current, it is NOT a 250.54 auxiliary electrode anymore, so for the sake of audio equipment grounds, no, you aren’t using an auxiliary electrode. This includes anything that has conductivity to equipment chassis like your amp, cd player, etc.
As I mentioned before, if you are absolutely positively obsessed with the idea of an independent ground, you need your own power generation. Get a solar power bank hooked up to isolated batteries and then so long as your power generation and ground are isolated you are fine.

