i know that if you have a functioning ssh client under linux, you can have the X displays exported over ssh. i'm not sure about the ssh clients that are available for windows, but i'd expect them to have that same ability to export displays.
if you're not familiar w/ ssh, here's a short description of what you need to do:
1) make sure the linux box has "sshd" running and check your sshd.conf to make sure that it allows exporting of X displays
2) get and install the appropriate ssh client for windows
3) ssh to your linux box from the windows one, making sure to allow for remote X displays (under linux it would be "ssh -X user@<IP/hostname of linux box>")
4) X displays should popup as desired; remember to execute w/ an ampersand (&) to allow terminal usage for other stuff
this might not work and it requires good bandwidth to get good response of the X displays.
hope this works,