YES!!!! GET THE AIRBED!!!! Your body will love you for it - your bones will love you for it!! you will actually be able to sleep!!
I take a double when I go to rallies or camp haha - just roll it up and stick it on the bike if its a single one - my double i fold flat so it fits onto the top of the pilly seat or on top of a rack then you can pack other stuff on top of it..
Just make sure you put it inside a nice thick plastic bag type thing - to A. keep it waterproof and B. make sure nothing puts a hole in it!
