Librarian, Renee Deschard (at Taylor Prairie) created 2 short videos for how to manage chat (and other email as well with filters).
This first video is how to manage your Google Group settings to have 1 email from chat a day (or no email and then check the Group). Note that 1 email a day does not get pictures, but you can see the pictures in the Group.
Google Group Options
This 2nd video is how to create filters (you need to do it twice, one for firstname.lastname@example.org & one for email@example.com) to skip your inbox and go into a separate folder. This is useful for labeling emails from particular people as well.