I've done this.

I tried out every RSHD for windows I could get my hands on and the only one that worked for me was Denicomp RSHD. I'd much prefer open source but none of it 'just worked' like the denicomp version. It's only 45 USD per machine. See http://www.denicomp.com/rshdnt.htm

RSHD uses IP based authentication so your security people might disallow this.

The other approach I considered was a timed script on the windows machine that checks for input in some shared directory and does its thing if it finds any. Run it every 5 minutes or so.

Whatever approach you take make sure you have monitoring to check it keeps working.