Try getting the air mattress in one of those vac and seal bags
Most housekeepings have vacuums or hotel might
I store all my winter quilts King size 2 or 3 in one bag stays seal all summer
I take a mattress topper when I go to Aruba. I don't take the one I use at home. I buy a much less expensive one (it only has to last 2-3 weeks). Since it is new it is already enclosed and compact. After my stay, I give it to the housekeeper as a gift. They are thrilled to get it.