I see one of these in my future:
https://www.amazon.com/gp/aw/d/B003EYUHPM/ref=psdcmw_3742531_t3_B00P1ZAOUA
It looks pretty sturdy. Only weighs 6.5 lbs and folds up into its own bag. Can probably get it into a suitcase. (I think it's rather ridiculous that I am considering buying and bringing my own table but whatever.)
If the chairs in the room don't stack, you can turn one upside down and balance it on top of the other. Put the seat parts touching each other so the chair on the top has its legs in the air. That's what I do when I vacuum my kitchen.