Install Windows without a graphic card
Solution 1:
There is no problem on installing a Windows version on a hard disk without using a graphic card device and driver. All Windows versions have a lot of embedded driver options that will run most known graphic devices that exists.
The problem that you would experience is the installation process itself, how do you plan to install a Windows without seeing what is happening over the installation process? You could only install a pre-made Windows image (from Clonezilla or Imagex, for example). I already did this by using Clonezilla before to install a Windows image over a virtual machine on a Linux host (using VMWare), everything goes ok and I used RDP (as you want to do) to access it over the local network.