I called my fellow hobbyists and asked their advice on paint removal without art removal. It was suggested I try the aerosol Goof-Off. So I went to the Home Depot and bought a can of Goof Off (with Xylene!) and tried it.

The Xylene gave me a headache, too. I rolled the game out to the garage. I opened both doors. I even put on the safety glasses! That is some powerful stuff.