I would never us a wire brush or knife to scrape the clear from chrome. Ask your local chrome plater if they would use a wire brush or knife to clean chrome, I am sure they won't recommend wire brush or scraping.
....if you want to try the acetone or paint remover. With a little care, you can work your way to the edge where the paint is, use common sense at this point so you do not use too much PR to minimize accidental.creeping onto the paint.
Then use foil and water to clean rust from chrome.
Best, Ben