You may want to have a look at the following two products.
The first is a thin ceramic blanket which can be glued to your plastic. I have attached a picture of a 1/8" thick blanket but you can also get 1/16". You could glue the blanket to your plastic using a silicone or high temp adhesive. I have attached a snag of the sizes available.
The scond is a high temperature adhesive putty. You could coat the plastic with this putty but it would not give you the same insulation as the blanket. You may still burn the plastic but it may be worth a try. I have attached a snag of some adhesivie types. The Zirconia Adhesive looks interesting.
"This paste forms a hard surface and resists rapid temperature changes, molten metals, and most chemicals. Bonds ceramic, glass, metals, and graphite. It also serves as a corrosion-resistant coating for graphite, ceramic, and thermocouples."
It also has the lowest cure temperature, 200F for 2 hours so it should not affect your plastic too much.
Go to http://www.mcmaster.com and type in the page numbers from the screen snags below.
Hope this helps.