Go to run, type command. When a dos like window appears, type ipconfig /release . Then after that process finishes, type ipconfig /renew. This should give you a new ip address.
I don't think it really matters how many games you go to, just how fast you go to them. When you leave a game, wait like 10 seconds then join another one. I know it sounds annoying, but it's better than waiting for an hour for your ban to go away.
If you've got a static IP address from your ISP, the only way you can change it is to call them and get a different one.