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I would use something like OfflineIMAP to sync from an external IMAP server to your own Dovecot instance, assuming you want the local copy to be kept in sync (e.g., read status should be copied to the local copy as it changes, etc).

Ah, misread. I was just looking into entirely self-hosting this last week.

https://github.com/awesome-selfhosted/awesome-selfhosted#ema... See especially homebox, Mail-in-a-box "complete solutions".

With brief exploration you might also be comfortable with just running the MTA for sending and forwarding, and MDA for "delivery", i.e. reading.

I haven't used it in a few years, but https://www.iredmail.org/ was fairly hassle-free if you're familiar with linux server administration.

I personally like dockerized Mailcow: https://github.com/mailcow/mailcow-dockerized