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Not just sit out. Show up, en masse. Let them think you're going to give them their moment. Then walk out, en masse.

Right across the street (or somewhere nearby) to a seperate venure, reserved ahead of time, and compete only against each other, in a purely unofficial, amateur, women's only, "by invitation only" event.

See who follows to watch the real women.

And see who stays to watch the man, lifting/competing by himself, in an empty gym.

Remember, every single competition started out as an unofficial amateur event. Hell, fucking NASCAR started out as a bunch of moonshine running rednecks racing their bootlegging cars around a dirt track in somebody's cornfield for fucks sake. Go back to that.

Fuck the CPU and the CCES. They wouldn't exist at all without the competitors. Remind them of that. You don't need their approval to compete against each other. In fact, if they don't comply with the competitors wishes, they should be barred from even attending the event.
Have private security at the door with a list of CPU and CCES officials names and pics, and turn them away at the door. And video all of it.