Question : Acces my Terminal Server using server name and not IP adrees (remotely)

I have a Windows 2008 server that I would like to use as a Terminal Server. The server's name is srv2k8.mydomain.com.  The issue that I am having is that since our website is being hosted by 3rd party, we cannot use the server name in the Terminal Services client to connect (srv2k8.mydomain.com)...we have to use the public ip address that our ISP gave us (the IP for the internal network Router which then forwards the request to the server.

Is there a way to use the actual server name when using Terminal services remotely with out using a VPN?

I can submit an entry in the lmhost file that maps the server name to the public ip adreess but this would not be a good solution since multiple computers that I have no access to will be connecting....better yet is there a way to connect to the server using an alternative name? such as terminalserver.srv2k8.mydomain.com

As I said..a 3rd party ishosting our website, meaning that our domain name points to their servers and not our internal servers.....therefore when someone starts terminal services client and types srv2k8.mydomain.com the client will look for a computer named srv2k8.mydoamin.com my ISP's  network and NOT mine

Thanks guys!

Answer : Acces my Terminal Server using server name and not IP adrees (remotely)

The company that host your website for you should be able to setup an A record for you for something like ts.domainname.com and send this to the IP address.