The pipes in your camper are the same materials used in your home. There's nothing different about the two. Any chemicals that are safe in your house are usable in your camper too.
However, if you use caustic chemicals (like Drano and such), remember, that goes into your holding tank and then it has to be dumped somewhere. The possibility of getting acid burns on your skin or the risk of splashing that (Drano) on the ground or even the concrete at a dump station are a real possibility. THAT is probably the only difference.
Whatever you'd use in your house, you can use in your camper. Personally, I'd get a sewer drain snake and snake it.