Goo gone will be fine, but be careful not to get it on the underside. You might want to tape it off or something.
Goo gone is pretty mild, but it will eat through paint if you leave it on long enough. I learned this the hard way stripping my Asteroid Deluxe control panel. After I stripped off the overlay, I used a combination of wire brush, block sander, and Goo Gone to strip it down to bare metal. Some of the Goo Gone splashed through the button holes and ate away some of the paint on the underside, so I ended up repainting more than I wanted to.