Good news!
Our friends over at Monero (moneromooo in particular) have figured out how to use Tor with Cryptonote coins using the torsocks wrapper, so you can enjoy using AEON with Tor-protected anonymity at the network level.
1. Make sure you are running a Tor demon. With Ubuntu Linux you can just apt-get install tor and you'll be all set
2. torsocks aeond --p2p-bind-ip 127.0.0.1 --hide-my-port
In the case of Monero there are some issues with DNS being blocked and required some code changes, but AEON does not use DNS, so we don't have to worry about that issue at all.
There is one message (harmless) that gets reported during IGD (UPnP) setup, but that can be ignored. I added a --no-igd option in github, so you can use that to get rid of the message if you build from the latest source, but it isn't really necessary.
Depending on the version of torsocks you have installed, you may get some messages about missing symbols. Those can also be ignored.
There is probably a way to do something similar on Windows, but I don't know it. Anyone?