1. Licencing. I'm not aware of whether The Free Stuff would work on Windows. Let's assume VMWare. Is it freely available for corporate use? If not, then the OP would have to buy a copy. Personal copies are not licenced for use at work (i.e. it's not your computer, it's the company's)
2. Most large (and not so large) companies carry out some form of auditing. It'd get picked up then. Licence issues notwithstanding, VMWare (or whatever) probably falls under the remit of "stuff the itdept doesn't want to deal with"
3. If administrator rights on the Windows box aren't forthcoming, then all bets are off; VMWare installs a number of device drivers.
All-in-all, it's probable that this is not a viable way forward, primarily not because of technical issues.