Forward email to members of a BuddyPress group


I'm searching for a way to forward mail to all members of a group in BuddyPress.

I have the group email facility set up and it works, but if a member receives an email from outside the site and want to forward it to the rest of the group, then currently the user must copy the content into the group, e.g. into the forum or send a PM to all group members or similar.

One way to solve it could be to assign an email address to the _group_ and then have this account forward all mail to all group members. However, I don't know how to assign an email account to a BP group

Any suggestions or hints appreciated!

Cheers Mort3n