I am not sure if this is not a violation of their Terms Of Service. I would look into that first.
If that is clear, then I would look at using the Google Spreadsheet in combination with a form. This would allow you to submit data to the spreadsheet, but I am not entirely clear on how you would retrieve said data, aside from picking apart the DOM.
If you are just looking for a free server, use Amazon Web Services. They offer free virtual micro servers for one year. (then like $20/mo after)