Default [Q] Mail Sync Settings

All my other emails, including "Mail" on my Android 4.2 phone, have a sync setting "do not remove messages when deleted from the server", or similar.
But I can find no such setting on my Note 10.1 2014. Sync is either ON or OFF. I'm using POP3.

My Roadrunner mail only gives me 100MB of server storage, so I have to keep purging it so it doesn't get full. Then all the mail I delete is also lost on the Note on the next sync.

I just installed K-9 mail, and it has settings that work. But I have no real love for the interface. I considered other apps, but some are pretty expensive.
Mail Droid @ $17.99, Exchange @ $19.99, or Imo Mail @ $4.99. Actually, I'd rather keep "Mail".
Am I missing something on the sync settings? Is there a setting that will keep mail deleted on the server from being deleted on my Note?