Wire Wheel Covers - Cleaning?

[84BirdDave]

My 84 TBird factory wheel covers are really hard to clean. They`re a combo of polished aluminum and chromed plastic parts. See pic. This is after using the dishwasher. Then tried S100 wheel cleaner - I`m a little nervous about it staining the chrome/plastic, so I wet the cover first. Not very clean. I brushed with Krud Kutter using long and short bristle brushes. Still dirty. A rag and tip of my pinky get some of the bright parts clean in tiny patches. Suggestions for a better way?