This is actually a fairly common thing to do. I've even got a production system of my own that does this.
Basically, you can use a single "ssh" command that logs in and executes a single command within the context of the logged-in user (in other words, the script already has to be present on the target machine). Then it logs out.
I'm almost totally certain that the PuTTY toolset has a command-line ssh program that will do that for Windows users.
Customer surveys are for companies who didn't pay proper attention to begin with.