A lot of companies are being faced with this. Especially because Export Control laws also apply. At my old company, we had a form that we ginned up. Certifies that either no export controlled data is present, or it is and cites the relevant citations for exemption. We told folks to carry two copies, as Customs can and does snag it without offering a photocopy. Importing or exporting export controlled data (and you'd be surprised what is...) is a felony.
Folks just don't seem to understand that US export and import regulations apply to everyone, as it is the law. I spent a YEAR sharply focused on it, and I was NOT competent to a reasonable degree. I'd estimate there are perhaps 60,000 people in the world (including Customs Brokers and CBP officers) that I would consider competent to know, to a reasonable degree, whether they are fully in compliance with all relevant US export and import regulations when traveling or shipping in and out of the US. The laws are that cumbersome.
It's the position of the US government (all three branches) that they have near unlimited power over activities at the US border, and unfortunately the Constitutional sorta, kinda backs them up. Well, they have more of a leg to stand on than usual anyways...
After spending an entire year with dealing with this, for the love of the Gods, do NOT carry anything other than sterilized electronics across the border. And I mean, thoroughly sterilized. I'd go so far as to recommend using a new and sterile cell phone. My minimum recommendations are a properly sterilized laptop (disk completely wiped with random data, reinstalled with just the base OS and minimum necessary applications) and VPN/RDP/SSH back to the US for your data. Once completed overseas, VPN/RDP/SSH your files back and rewipe your laptop with random data. If you're really clever, you do your work on a server/computer back Stateside so the only data that goes overseas is the information on your screen and on your video buffer, preferably heavily encrypted.
While not optimum security, for the average user, on return to the US I just recommend deleting the files completely and using a scrubber to make sure the files are really gone. Customs gets irate/suspicious when you bring a dead laptop with you back to the States and most folks don't haul OS install disks with them overseas.
This isn't paranoia, this is SOP for most intelligent persons or corporations. You are a fool if you DON'T take the above precautions, regardless of whether or not you believe you have something to hide. If you're reading this, even if you are a lawyer, there is a 99.9999% chance you are thoroughly incompetent to understand the laws in question and you are still bound to follow them. I know this, because I am one of those incompetent persons.