Hi,
I have had some success with Starloc products. They supply various types of cyanoacrylate glues and epoxies with a plastic primer that they claim will allow bonding of virtually any kind of plastic. I managed to bond wood to a bath panel that had resisted all attempts using standard products. They supply cyanoacrylates with rubber additives that give flexible bonds suitable for bonding wood and plastics with different temp coefficients.
Use Google to search for Starloc adhesives.
I have no links to them other than a satisfied customer.
Regards
Mike