There isn't a way to poll the cRIO without modifying the LabVIEW program.
If you do decide to have a go at LabVIEW programming, I suggest setting up a RESTful API. Since you are already accessing the cRIO over FTP, I am assuming you can access it via HTTP calls with python curl. Here is a quick tutorial on how to setup a RESTful API in LabVIEW 2013 or for LabVIEW 2012 and earlier