If it's original GM, I don't have to tell you to be careful whatever you use. OE GM shrouds for 67-68 BB applications are not cheap, few and far between in opportunities to find a good one.
I've used DOT 3 brake fluid to strip really stubborn spray paint from armrest bases before - did not damage the plastic base or texture, wrinkled the paint up and allowed me to scrub it off with a dish soap rinse and soft brush. I tried it first on a couple of beat up bases, worked really great but it's a little sloppy - best done out-of-doors in sunlight to accelerate the process. If all else fails, you might try a drop on an inconspicuous place and see if it does any good. If it's epoxy, nothing short of dynamite might work. Just my opinion -
Regards,
Steve