It's not possible to be on the internet without an IP (whether it's your IP or not). I do know a few tricks but unfortunatley for you I can't disclose this kind of information on this site. If you want to use a proxy that is more robust try doing this:
In IE choose Tools-->Internet Options and click on the "connections" tab. Click on LAN settings and check the box that says "Use a proxy server for your LAN". Then all you have to do is add the IP of the server along with the port number. An example would be: 188.8.131.52:80
I have a huge list of proxies I use on a daily basis, so if someone decides to see where I am it may be Japan, China or whatever other country I feel like using. There are other ways to these types of things but this is the easiest let alone legal.