I've found that Castrol Super Clean (CSC) will take the lacquer undercoat off, but it takes a while. Typically, the chrome plating is gone within an hour but the undercoat takes 2-3 days. I just drop the parts in and leave them in there for the week.
Definitely use rubber gloves for removing the stripped parts from the CSC bath. Auto parts stores usually have "solvent gloves" that are rubber and fairly inexpensive that are made to protect from all sorts of nasty chemicals.