I will concur that I feel more awake after things "get going" in the a.m.!
That said, I try to make sure I am fully awake before playing. That means getting up REALLY early sometimes, but that's how it goes.
If I try to play before my mind is fully engaged, it's nearly pointless.
Something I've found helpful is listening to some music that I love - especially stuff that has beautiful trumpet sounds in it.