I'll echo ocean breeze's comment: Meditation comes more easily and naturally to me when my body is occupied with some kind of activity -- stretching, doing rote chores, things like that. I do sit and meditate too, but usually I have a specific reason - a question, a connection - for that kind of stillness.
Meditation can take lots of different forms and can happen under a variety of circumstances. When you really need the kind of meditation that requires sitting still and your body is unwilling to cooperate, like Tobi said, it's probably best to simply pay attention first to your physical needs. Sounds like morning isn't a great time for you to meditate, and there are no rules that say you must do it then.
From time to time, I do consider that I might be mad. Like any self-respecting lunatic, however, I am always quick to dismiss any doubts about my sanity.
- Odd Thomas