You should be able to choose which chat logs to view here,
http://www.beehiveforum.us/forums/chat/index.php?view=logs
There are different drop downs for you choose options. I don't really care for the set up, but it's what is there for us.
I've also contacted the devs for AC to see if there is a way to implement something like /logon username@emailaddresss.whatever to start a chat session log, then use something like /logstop to stop logging the session and make it send the log to the designated email address.
I wouldn't mind having such a feature myself.
If you don't want to mess around with the log viewer, you can cut and paste what is in the chat window. I consider it less of a pain.
I'll let you know if I find anything out about getting the email things done, or if it's even possible.