Hey OP, wrap your head around this:
Training can lower testosterone levels and break down muscle, so if you train when levels are at their highest, aren't you pissing away an oppurtunity to grow? Wouldn't an evening lifting session be better, so then those higher morning t-levels can be used to help rebuild what was broken down the night before?
/fueling the OCD fire. Back to reality...
Just eat and lift hard whenever it's best for you and your schedule. Don't sweat this minutia.