A couple of options:
1. Easiest:
Copy your files to a volume that you
can reach. Do this by SSHing and typing:
ditto -rsrcFork /Volumes/userdisk/path/to/files /
to drop the files right in the main system partition.
Then mount via AFP as before and grab the files.
2. SSH/SCP
Sounds like you're connecting from a Mac during this week away, right?
In that case, just download
Fugu, which is a graphical front end to SCP.
This gives you access to your files over SSH, which is secure and easy.
If you can't run Fugu but still have access to a command line, use the text-mode
scp command. Basically, at a prompt at the machine, you do this:
scp username@your.machine.net "/path/to/home.file":"/path/to/put/locally"
to copy a file from your home machine to the one you're at.
3. FTP
SSH in, and turn on the FTP server. THen connect from FTP.
4. Web
SSH in, and cd to the folder with files you'll be using this week. Then type
tar -f files.tar -c thefoldername
to make a tarball of the whole folder. Then compress the tarball:
gzip files.tar
Then copy that to your webserver area:
cp /path/to/files.tar.gz /Library/WebServer/Documents/
Then turn on web sharing if it isn't already (
sudo apachectl start), and grab the files with a web browser
http://your.machine.net/files.tar.gz
Hope one of those works!