If you publish it as a non zipped file, does it output? You could then zipp the files and upload to a server. Not sure what would cause it to not ouput the zip, but it's worth identifying whether or not it outputs anything.
I agree with Jorma. Have never liked the zipping functions in tools like this. Try publishing standard and seeing what is in the folder you chose for Publishing in. If it doesn't publish at all I usually receive an error for that.
Also recommend publishing to a local drive if you aren't doing that already. Publishing over network usually takes me forever.