Just a few points.
I used to record things on film as part of my job.
I was concerned about radiation damage and did some research.
The information I received was -
1)Modern Xray machines use much lower radiation levels than old ones,
and are very unlikely to damage film
2)The effect is cumulative (so think about buying film and developing
it at your destination)
3)More sensitive film is more vulnerable
4)Unexposed and exposed film are both potentially at risk
I have had no problems, even with ASA1000 film used in low light
conditions near the arctic circle in February.
It seems to be less of a problem now than with the first Xray
machines in the 70's (some of which could still be in use ?).