I don't know if you've found a solution, but I use
crackerMail. Its not secure itself, so I put it in its own folder that I secured with cPanel (htaccess). I log in, and have access to my various e-mails here, and a few elsewhere.
2.5 bummers:
1) Doesn't keep sent.

2) You may need to get in and tweak the code deleting subject lines. It took me a bit to figure out why I could not delete some e-mails - turned out to be special characters in the subject.
.5) Everyone once in awhile, it gets agitated. Not "sweet Jesus, I lost it all" agitated, but "Dang it" ::refresh:: agitated.