Create a month by month archive of pages (not posts)

You could probably hack something together, but you should probably understand that, in WordPress, a basic assumption (and operating principle) is that static Pages are not chronological.

IMHO, a better approach would be to store the content as Blog Posts, and then to use Categories (or perhaps, a custom taxonomy) to identify that content, and to display it chronologically.

If you have a taxonomy (core or custom) that identifies this content, you can even filter your primary Loop query, so that this content does not output with your “normal” Blog Posts.