If you really have data to hide you could just check in your laptop (in a nice padded bag). It will go in the hold, and it will never be searched. You just have to hope it comes out the other side - I probably wouldn't risk it on a flight with connections.
Encryption is risky, if they find it that gives the cause to detain you and hold onto your laptop untill you give them access. The same goes for removing hard drives etc.