Modelbuilder-I had great luck using Goo Gone on an acrylic paint job. I would suggest that if you can, paint a spare piece of plastic with the same paint and then test. Also, rinse the area with water after removing the goo. You can find small bottles at hobby & craft shops, and also probably at Home Depot/Lowes types of places.
http://googone.com/googone.aspx
Good luck. btw-I've been to Kings Mt.-wonderful place. Is Wendel's (at the Y) still open? Best bar-b-que that I've ever had.