Hello, Jdowell.
Thank you for using Apple Support Communities! I understand that you're having connectivity issues with your mail accounts and the issue has been linked to SOCKS proxy settings. You also mentioned that after troubleshooting, the issue was resolved until the computer was powered on the next day.
To isolate the issue further, check that you have security updates enabled for Mojave by going to > System Preferences > Software Update > Advanced. From there, make sure 'Install system data files and security updates' is enabled.
If you are logged in as a password protected admin user on your Mac, you can trigger a background software update that may resolve the issue. The following steps should be performed after a restart of your Mac and after you have verified that SOCKS Proxy is still enabled.
-Open terminal on your password protected admin user account: Open or quit Terminal on Mac - Apple Support
-With a Terminal window open, type the following command, then press Return/Enter: sudo softwareupdate --background
-Wait 2-3 minutes
-Check System Preferences > Network > Advanced to see if 'SOCKS Proxy' is no longer enabled.
Let me know whether these steps resolve the issue or if the settings come back.
Cheers!