I just declare email bankruptcy periodically and send an email to everyone on my contact list that I emailed over that period saying:

Hello,

This account has given up. There are too many emails. So, I am ignoring them completely. They will all go in a tidy folder called oops.

So if you are waiting to hear from me for some reason and feel that you may have been oopsed, please send me an email ASAP

My bad