Try shaving in the shower - even without mirror. Touch up work dry after you step out.
Also depending on your stubble tollerance you may be able to shave the evening before during you post ride shower.
If you drink coffee set it up the night before, even better if it has auto on.
Think about your routine in the morning, make sure every direction you walk is productive, that is you are carrying something between somewhere, no wasted trips. (for example I wake up and go to bathroom, then adjacent clothes closet, take clothes off hangar, walk to garage door (where bike bag is) put them in, pick up helmet and bike ride clothes, carry them to kitchen table, get coffee, put on clothes, eat snack, put on helmet, walk to garage door grab bike bag and leave. no wasted trips)

Al