I would be very careful there - the Feds could very easily consider that as you working; you are receiving material benefit (hours in your logbook and accommodation) - when it comes to job hunting, a criminal record, deportation and a lifetime ban from the US wouldn’t look good on a CV. Having said that, a free FI course would be nice.
Piston hours don’t really count a great deal nowadays when it comes to getting a jet job, and the time spent getting those hours would be better spent job hunting and networking.
Be careful with your next steps, it looks like you’ve made a bit of a mess of your hour building so far, so make sure everything you do from now on is considered. (By 200 hours you could have had the FAA IR and both the EASA CPL and MEIR)