The solution I found is to use either the SD card or a USB stick as the apt cache. My steps to do this (though there is likely a better path) is the following:
- Format your USB stick (or whatever) to ext2 or ext3, whatever you're using
- Copy the contents of /var/cache/apt to to the USB stick. You'll have to use sudo.
- Mount the stick as the apt cache:
mount /dev/sdd1 /var/cache/apt - Now running Update Manager should work fine, though very very very slowly. It'll probably take upwards of 3 to 5 hours to download the files.
I am actually still in the download process, so if anything doesn't work, I'll update.
