Private Domains - Hiding Personal Details AND Host?

I use Host Gator for my hosting. I would like a Domain service which hides all my personal details as well as the host of the domain (Host Gator).

I know I can use Name Cheap which has Whois Guard which allows you to enter your own Name Servers which show as ns1.sitename.com instead of ns1.hostgator.com but if you do a search for my domain on Who-Hosts.com you%26#039;ll still see that Host Gator is the host.

So is there any service which will NOT display my host in Who-Hosts.com or similar services like it?

Private Domains - Hiding Personal Details AND Host?

You%26#039;re talking about the name servers.

Unfortunately, that information cannot be hidden.