I have the same problem, hungry too early in the morning. It's now almost 6AM and I woke hungry an hour ago.
I should be in the garden, but we had a lot of rain (finally!) last night and the soil is too wet to work. I could probably weed a garden ok, so maybe I will do that...
I'm still struggling with the carbs thing. It's gotten better but not enough to stay in ketosis...sigh...