I have got the logging in part done with the code shown below, but how do I download the file and save it? The example I show is more for downloading a web page. Anyone have any ideas?

Downloading a webpage via http is the same as downloading a zip file via http (no difference). Instead of print $ua->request($req)->as_string, open a filehandle and print to it (or just redirect the output of your script to a file).