Sorry but luck has little to do with it (statistics will bear this our).

Most US airlines will provide a cardbox box (some have stopped offering them) for infants that you are to hold on your lap or place on the floor and have done/did so for decades.[/QUOTE]

+1.
A foldable box/bassinet on the floor with blankets etc should work fine. I think i saw smth of this nature at babies r us the other day.
If you neet to go to lav or stretch you can pick the whole thing up put on your bed and run a seatbelt over if turbulence is a concern.