Why not came back to plain old email? The email delivery system is decentralized and can support p2p encryption. You can have "chat-like" user experience with apps like Mailtime (https://mailtime.com/)
Also pgp doesn't support any of signal's key ratcheting or deniability. And the web of trust leaks information publicly about who your contacts are! (And its vulnerable to Sybil attacks.)
Don't get be wrong, I love email and think its great. But it doesn't hold a candle to Signal when it comes to secure communication.