I need to provide a client with a Blog, preferably integrated in to the existing site.

From searching the Forum I read that it was possible to add a Blogger blog via an iframe and tried with the "Add a web site" widget but got a message that the "publisher of this content does not allow it to be published in a frame". Is this something new for Blogger or is there any other way to integrate it? Alternatively dose anyone have suggestions for a different blog?