With hosting, you get what you pay for. And especially for what you want - you should not consider for free. It will cost you more headaches that it is worth. You would be spending your valuable time trying to figure out why your site it down or why you cannot access your e-mail.
Check out
http://www.1st-amendment.net/ for some hosting solutions.
Then look at these sites to help you get an idea on hosting providers:
http://www.hostchart.com/
http://www.comparewebhosts.com/
http://www.findmyhosting.com/
http://www.freeservers.com/compare.htm
http://host-dir.com/
http://hostreview.com/