If your connections are reliable and unlikely to randomly drop. xrdp should be sufficient. This works by creating a new X server in the background and connects internally via VNC, similar to Remote Desktop on Windows, except multiple users could be using the computer at the same time.
I've found that permissions can be messy - as in, unable to mount external drives or accessing some privileged programs unless I had logged in physically once.
You may wish to look at purely VNC, which views and controls over the desktop just like you was sat in front of them.