No-Ip.com can somewhat hide your IP but usually if someone was smart enough they can bypass no-ip's IP decryption with a simple program, so really hiding your IP is near impossible, and hosting an RSPS is at your own risk.
I recommand you use Hot Spot Shield. This programe can change your IP you can choose to turn it on or off whenever you like. But everytime you turn the programe on or off the ip change.
It is possible to Hide your IP details by using a proxy server.A Website based proxy server is a website that provides a form for you to enter the URL of a website that you wish to anonymously visit.When you submit the form the website proxy server makes a request for the page that you want to visit.The machine usually does not identify itself as a proxy server and does not pass along your IP address in the request for the page.This is a way to hiding your IP. Check your IP details before and after hiding it using ipconfig command on DOS prompt or check it using the site Ip-details.com.