I brokenentity: I have had kind-of an on-again / off-again meditation practice for many years. Recently I tried cranking it up again. But what I found was that shortly after I would begin my session, I'd start falling asleep. As soon as I fell asleep, I'd begin to tip over & this would awaken me with a little jolt. The process would continue over-&-over until my session had concluded... not a very effective methodology, I must say!

So, what I've done is to substitute a mindfulness yoga practice for sitting meditation. The two practices accomplish pretty-much the same thing. But I don't fall asleep doing yoga. Perhaps something like this could work for the morning nervousness you experience too. You'd be physically active instead of just sitting still.

Also, there is such a thing as walking meditation. If walking seems to work for you, perhaps you could develop a walking meditation practice... just a couple of suggestions...