It's very very hard to do. Probabaly not worth the effort. I'd replace the drive's bezel with a steathed one. Hold it into the dash. No button either. Just press the right spot on the dash and part of it pops open. Done. It would be a sick mod.
If you don't know what drive steathing is, it's easy and the look can be sweet.
See this <-- that one doesn't look so nice, but you can see how it would in a dash.