I stumbled upon this by accident and meant to post it awhile back, but I found a great way to remove glue from your unit.
I use
stretch wrap. The kind that is used to wrap pallets for shipment.
I had some lying around my store and after using it a few times and seeing how tacky this particular film is, i thought it might work to remove glue, and I was right!
I think this is the film that I have, but I am not sure-
http://www.uline.com/BL_2952/Opaque-Stretch-Wrap
You might want to contact a few places and ask if they have any very tacky stretch film in smaller rolls, or see if you can find some locally.
The secret is the tackiness. Some of these wraps (unlike regular kitchen wrap) are designed with extra tack that allows them to hold heavy items in place on a pallet by "adhering" the film to itself.
What's really great about it is that you can cut off a piece, wad it loosely into a ball, and rub it across the base of the piece while it is pinned upside down on a styro head. The stuff I have really gets in deep in the lace and pulls more glue off than a mirror slide alone.