Are the good, opensource email clients out there that check emails at regular intervals and configurable filters?

I've tried [FairEMail](https://f-droid.org/en/packages/eu.faircode.email) and [SimpleEmail](https://f-droid.org/en/packages/org.dystopia.email), but they require opening the app to see emails. They seem to be forks or versions of each other without background syncing and (sorry) a terribly ugly interface. Neither seem to have filters.

Background syncing shouldn't be constantly on, just every 5-10 minutes or so. Normally I check once a day, but forget to quite easily and then miss an email. If it checked automatically even twice daily, that'd be enough.