Jaybird has your back on this one Jim...
Goof-Off is REALLY strong graffitti/paint remover. Comes in an aerosol can, probably can get it most anywhere I'd guess (WM, Lowes, etc.). I keep a can handy for paint removal at all times but use it sparingly as it WILL roughen plastic. Spray a little on a tightly folded papertowl piece so you get sharp corners... Rub with the corners and it'll come right off.
I've been doing similar things to make generic display stands... Probably have a ton I'd sell if anyone's interested, haha.