Glad you got it sorted! Just to provide some further ideas for people in the future with a similar problem...
Depending on the server configuration (if it's on shared hosting, it's a very long shot...) you could run some shell commands via PHP to zip it up, and then just download the single file.
You do seem to have manager access, and access to the file tree there, so you could plant a php file with contents like this..
<?php
`tar -cvzf wwwdata.tar.gz wwwdata/`;
or..
<?php
shell_exec('tar -cvzf archive_name.tar.gz dirname/');
or..
<?php
system('tar -cvzf archive_name.tar.gz dirname/');
If you just need to download the content and assets there's also some scrapers online that'll do that for you too (I can't seem to find my bookmark on this...).
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