When using ham radio, you must transmit your callsign and therefore show your identity. Also all ham communication must be unencrypted. There's really no way to conceal your identity and operate legally. If this isn't for you, then don't participate. Having an email tied to your callsign is just for ease of communication. Someone can send an email to my [email protected] and it will be relayed to me over a ham radio mesh network to my receiver. Totally open but I just wouldn't use it for anything I wouldn't want someone else to see.

Just like with social media networks, one may have multiple accounts with different rings of contacts. One ring might be people they know in real life and another might only be online "friends" they don't really trust with knowing their real identity.