It sounds like the coin is in the Superdrive, so taking the mini apart will not help as you cannot take apart the Superdrive (you can, however, replace the Superdrive)
See if gravity can assist. Unplug
everything and while holding the mini with the slot facing down, shake.
If this does not help, and you decide that you need to replace the Superdrive, instructions are at:
http://www.ifixit.com/pdf/ifixit/guide1065en.pdf
These instructions tell you how to pop-open the mini. Maybe without the mini case in the way, the coin will fall out.
If you need a Superdrive, for 2009 and later, the mini uses a SATA Superdrive. You can get one here:
http://www.logicsupply.com/products/uj875a
Good luck!