Chris,
Here is a trick that we use in the paint industry, as horrid as it sounds.
Easy Off (blue can) will remove paint without hazing or scaring plastic.
We use it on signs, plexiglass, etc with no problem. I can not say exactly what your dash is made of, but if you can find a hidden spot to test it out, it may be your solution. Just remember that it will remove paint from any metal as well.
