I can't remember what Discord did at the time, but there was a decent push to try and move to a different platform. We tried out Guilded, but we had a pretty hard time getting adoption from the users on our Discord server and ended up dropping the transition.
I didn't think I'd ever say this again, but TeamSpeak 5 is actually looking like it could be the solution we're looking for. I still need to figure out how I can host a server compatible with version 5 though.
I only just learned about that combination yesterday. Sounds like I should look into it a bit more?