Don't put getting up before dawn and getting out in the woods as an absolute necessity.
I can tell you first hand I have been the last one out - well, well after dawn and bagged plenty of deer. And when starting out "late" I have probobly gotten half my deer on the way in and half on stand.
I believe the key to moving in the woods is to move not very, very slowly - but extremely s-l-o-w-l-y. When you walk you have to look where you are walking, where you are stepping, what you could step on that might break or snap and make noise vs. where you want to step. That detracts from looking around and seeking even the slightest movements that might be a deer. Much like deer do to avoid us hunters.