I shoot lots and lots of film no matter where I am.
I have my 5D which is my commercial work camera but I always have one of my medium format cameras (Hasselblad or Fuji 6x9). I've taken rolls of film sometimes through 8-10 xray machines and I've not really noticed anything.
Depending on what it is I will have all the film in a bag and if I can I'll hand it to them saying can you please hand check it? Sometimes they say yes and sometimes they say no...if it is a non-US airport I just go with what they say (aka at ICN I'm not about to talk about the finer points of the ISO rating and xray machine with the security agent).
Film will help you shoot more deliberate. Why not just touch up on a few rolls before your trip (re exposure). You can also get some gaffer or electrical tape and cover up the display on your digital camera and take that out for a few days shooting at home. It'll help you simulate shooting with your film camera.