Works for me
I've tried pre-flight deprivation and like you, it seemed to backfire on me. Now I just get my normal amount of sleep, regular sleep patterns, etc. before the flight. Once I'm on the plane and I get to the point where I don't want to read or watch tv or do any more sudoku puzzles, I pretend to sleep. I get in a comfortable position, one click back with the seat is usually enough for me, and close my eyes and try to slow my breathing a bit and force myself to relax. It usually works and sometimes I'll even doze a bit. If I can I'll try to bring a hard-sided carryon that will fit under the seat and I use it as a foot rest. An eye mask can help and if they aren't uncomfortable for you, ear plugs might also help.