The alternative way to get your accounts unbanned does not exist, unless you find it.
So yeah, if you've tried everything stated here, I would give up.
Altho I would think a perm ban for offensive language would be one of the more easy to recover perm bans,
since you say the mod that did it to you retired.
I don't see why you wouldn't tell what you did, but you made me curious by re-stating you won't tell.
Oh well, I'm going to assume you called him, said his mom was a whore and set his house on fire.