I know this strayed onto flying in the USA - of which I know nothing about... BUT:
I would recommend hiring a plane from your flight school / someone local to you. I know a guy at Biggin who rents his Cessna152 for not very much at all. You could then fly over, go down to south of Spain, or head over Croatia way, could be a load of fun, especially if you share the ride with someone who is like minded! :-)
I'll let you get back to your debate about FAA law....