What errors are displayed when you can't send ?
You mentioned the pop3 port but didn't mention what port is used for SMTP ?
Rather than shut down avast, you can either temporarily Terminate the Internet Mail provider (if that is what you are using) or what would be preferable would be to stop outbound scanning. Internet Mail, Customize, SMTP and uncheck Scan outbound mail. That way you at least retain the protection of other inbound email scans and other avast providers.