the public has a right to know who a plane belongs to.
Why? This "right to know" is pitchfork mentality, really. If something happens the authorities can handle it and only they should have that kind of access, not John Doe. Not all who own planes are millionaires (those probably do register to an LLC).
Here's a travel tip: don't do dumb shit while you're in a foreign country and don't take advice from the internet.
Can you really not go without torrenting for 3 weeks?