Nano is supported on NXLog EE as we have an install package for it. The package is really a zip file with the file and folder structure included.
Nano/Core do not have a GUI, which is required for the MSI installer.
The following is unsupported
You may be able to get it to work by installing NXLog CE on another system and then copying the folder structure over to your Core machine.
You will have to manage the service yourself as the installer is what provides that functionality.