Maybe somebody can start a pay to broadcast service using namecoin atomic name changes https://wiki.namecoin.info/?title=Atomic_Name-Trading 1. Service announces public nmc pay to address. 2. People mail them a message as a name update transaction combined with payment to that address using snailmail. 3. They broadcast if the perceived risk of broadcasting is less than the value of fee provided.
This could be anonymous and encrypted if the source name coins are sufficiently anonymous.