Here is another way to cut out irregular-shaped holes without messing up the immediate area around said holes (yes, I have actually seen this performed during a demo at a club meeting a while back):
As previously mentioned, mark your areas to be cut with a pencil of some kind; drill a small hole somewhere along that line; then, insert either some dental floss in the hole, or some very strong thread, and use that as your saw. A curved piece of springy metal, or a Flex-I-File U-shaped sanding handle, with both ends of the thread/floss secured to the handle (think of something horseshoe-shaped to hold the floss/thread), will work great handling the thread/floss while you saw with it. Won't overheat anything, and cuts curves very, very easily.
Gary Mason