gnarlberg, be a bit creative. It's absolutely legal to depart below FPL fuel. Get the aircraft on the way, try to save fuel enroute (levels, direct, lower CI...). If you cnnot make it to your destination with the required minimum fuel, land short for a tech stop, refuel and, FDL allowing, continue the flight. But at least you are on the way and the company might be able to organize something for you.
This is how it is handled in all longhaul outfits I know.