There's a challenge if I ever saw one.
I would strip out every bit of metal first and give it all a good soak in white vinegar, brushing off loose rust every once in a while. When taking the stuff out of the bath hose it off immediately, the residual rust loves to stain the surface if allowed to dry. Then, just to be certain everything's okay I'd wash it off in a baking soda and water solution to neutralize any remaining acid from the vinegar. Got to hose if off again after that, the baking soda will leave streaks.
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