I can understand your schedule ... mine gets pretty hectic juggling work, wife, and kids too. While in a perfect world it would be great to change it up, in the real world it just isn't going to happen.
At any rate, your situation is pretty tough. Your body has been fasting all night, so your glycogen stores are pretty much zip and you need some energy for the early morning workout....so you do need some carbs in your system. The flip side to that is you need to slow down the absorption of these carbs just a little bit to keep from getting a big energy boost followed by a big drop in energy. I am trying to think of things that you could add to your shake to accomplish this without having detrimental effects.
Normally we would say add some fat to your protein ... that would slow the absorption down by quite a bit, but I don't think you would have enough time to get the energy for workout soon enough.
The only thing that comes to mind right off the bat is possibly adding some oatmeal to your morning shake .... I haven't personally done this but know some bros that do. If it tastes/works okay, that should slow up the carb absorption by a little bit.
I will kick this around some more and see what else I can come up with. Some of the other bros probably have some ideas along these lines they can share too.
Best of luck.
RedBaron