Just fantastic! In my experience of putting vinyl on chromed plastics for signage/livery, when the weather heats up and the vinyl shrinks a little it will pull the chrome off. So I was thinking, to avoid actually sticking something on the surface, how about them magnets? It looks like there's not enough room to lay the decals down as normal - but what if you raised them several mm to sit almost flush and used felt covered magnets to secure them. Would avoid scratching that luscious shine too.
Colour the raised edges black and that would reflect in the chrome to give the decal look. Maybe paint the decals a darker metal, so keeping a full metal feel to it?