Any suggestions for downloading years' worth of photos from Family Album (mitene.us)?

It's not officially supported (I'd pay for it if that was an option), but I *can* individually open each photo in full quality and save to disk (they even provide a download button). So I'm just looking for a downloader tool or other way to automate that process to extract all photos. EXIF data is preserved so no other metadata is needed, just the JPEG files.

Any help appreciated, especially if you have any experience with this particular site!