In countries that don't allow encryption (or believe anything encrypted must be illegal; 'nothing to hide.....etc.). Then I would recommend leaving your data at home and accessing it remotely over a secure (ssh/vpn/etc.) channel once inside the countries borders. Obviously this only works depending on the size of the files you need and the performance of an available network pipe.
Read this article earlier and it is worrying me as I need to travel stateside toward the end of the year. From these new changes they'll be a fresh OS installed on my laptop with no data.
Two proposals that regularly turn up in commentaries to this is to either release your own 'music', then call in RIAA or place an 'interestingly' named folder on the desktop and fill it with every piece of malware you can find. But they would be
unethical....... (or justified depending on your take on state sponsored corporate espionage....)