Here is part 1 of a multi-part series called "Don't Talk to Cops"
http://www.youtube.com/watch?v=i8z7NC5sgik
which I watched in full about a year ago. It was a real eye-opener for me. The "I didn't have anything to hide" defenses is useless when an overly zealous group of supposed law enforcers has a woodie to put you in a bind.
The key is to know the law, know your rights, and stand your ground. Never, ever volunteer for a search because nothing good can come from it. Never, ever volunteer information either. You start even and go downhill from there.
I have the utmost respect for legitimate enforcement officers but I will never voluntarily put myself in a position of defending myself. Remember, by law they are allowed to lie to you and trick you into subjugating yourself. Everything you say can be used against you while everything they say is inadmissable.
I would have presented my aircraft and pilot's papers to the FAA, as required, and refused any further exploration of the aircraft. No logs would be presented, either on the aircraft or on the pilot.
As someone said earlier, if they are truly targeting you because of a legitimate suspicion, they will already have the necessary paperwork in advance to forcibly search your aircraft or vehicle.