I, too, am not not not a morning person. I dread flying east.

This is what I do.

Open a good bottle of wine.

Stay up all night before departure packing and repacking. Take breaks often and go to the computer to read LCT to see if anyone has sent you a bon voyage message. Sit down and type away with wet nails, pause, drink wine, touch up nails, drink wine, read "off topic" as long as you're there.

Feel guilty about leaving pets. Spend an hour talking to them, prodding them to keep them to stay awake, while you talk sappy nonsense and dab your eyes with tissues.

Look at suitcase and consider repacking, think twice remembering wet nails, pick up wine glass and top off. Hmmm, empty bottle. Time to go to bed.

Get in bed keeping dampish nails on top of covers. Alarm goes off within minutes. Swear.
Get up make a latte and read LCT. Shower. Dress. Tearful goodbye to pets.

Go to the airport. Check in. Drag your sorry booty into a lounge or bar. Hoist wineglass. Get on plane. Husband/S.O. falls asleep with glass of champagne in his hand going down the runway. Glare at him while drinking his champagne. Keep glaring at him for the next 11.5 hours while having the flight attendant top off his glass throughout flight. For full effect take Ambien (or Halcion from your 15 year old stash). Hey! It didn't work at home, why should it now?
The pilot announces you are approaching the landing. For the first time you feel drowsy. Fine.

From this point on I follow everyone else's advice, except, forget the nap. Get into town, get on local time. Find a cafe. Order a glass of local plonk, people watch and enjoy. Get into the moment. When the time comes, sleep will call.

And, going home, flying west is a piece of cake. Believe me.

That's my method. After 40+ trips to Europe it seems to work for me. :)