Hi,
I've travelled about a bit.. (In fact I'm taking off again tomorrow.) But not with a pump.. Planes tend to be a small issue.. (Air pressure)
Which in your case may give a slightly higher dose than thought due to expansion with cabin pressure.?
But there are ways round this....
Keep all you D stuff in hand luggage..
I've traveled to some hot countries in my time & still alive to tell the tale..
Plenty of practical common sense on here.. Back in my day I had to make it up as I went along.... Lol
Have fun..!