Hi there, we haven't traveled much with either of our two beardies (except for day trips), but I do think getting a smaller temporary set-up would probably be your best option. I do think, however, that Rajah might suffer from relocation stress from the trip.
Sorry I couldn't be of much more help and I hope you both enjoy your travels!
I have a baby beardie I will be bringing to my Brother's wedding in June. She's too small to be left with a sitter.. And I can't find a sitter to do roaches.. lol
But she is only in a 10 gallon right now because she is tiny tiny, so it won't be that hard to move around... But my others are in a 50 gallon and 40 gallon, so I can't imagine moving those.. but I would think as long as you have an enclosure, their UVB and food, you could get a smaller travel cage for traveling, like a 20 gallon, just because it's temporary... and just take them out so they can run around...