Well..if it is vinyl..or a plastic material that's burned on..I'd try putting some Goof-Off on it:
www.goof-off.com. It has toluene in it though..which is considered carcinogenic..and banned in some states.
Nonetheless..if you can get it shipped to you..you can soak a rag or paper towel in it..lay over affected area..see what happens. May take an hour or two of "soaking" though.
I've removed road tar..undercoating..and burned-on plastic on exhaust pipes with it. May take some agitation or coaxing..by scraping with a wooden stick on the surface. But if you can get the Goof-Off into the surface of whatever your trying to remove..it usually will soften and allow you to wipe it off. Pretty good stuff. But you have to be careful around other plastic and/or painted parts..or it will remove them too.
Let us know how it works out..
Ichi.