Counter: the border agent asks "are you hiding any information from us?". answer yes, and they get you to disable travel mode. answer no, and you just committed a felony.
As a general comment to so many of the follow-ups to this post: You really, really don't want to get into a rules-lawyering match with Federal fucking prosecutors over whether "clever technological solution" counts as "hiding" something or not. They have all of the guns in this situation, and you have a demonstrably inaccurate understanding of the relevant statute. You WILL lose.
First you must ask them to not use loaded terminology like "hiding" when dealing with information you own and don't feel like accessing. Don't answer "yes" or "no" to whether you're hiding something. If you use their words then they have a huge advantage.