Since I'm a superlight snob...
I use a backpack that has NO padding or back support. So I use the mattress as an internal lining inside my pack.
I make a fan-fold setup with the mattress pad against my back.
Then stuff all the contents into the pack.
Then.... inflate the mattress as tight as possible.
This is my padding against my back plus the only stabilization for my pack.
Now THAT is one determined ULB!