Remotely as in via command line. Not sure if there's a reg key or something similar I can peek at to see if a user has the correct printers mapped.
Well, you can take a look at the Win32_Printer WMI class,
But, I think this will get you even better results:
Without using PS Remoting, you could do this instead:
You get the idea. Basically, you need to access that user's registry key with whatever method and enumerate whatever you find in