So that towel that Taylor uses, I do the same, wipe everything down assuming its not raining at go time, shake the fly and then wipe it down with that towel.  Stuff the fly in first, then the towel as a barrier between the fly and tent.  I fold the ground cover into a pretty small package and store in a side mesh pocket on my pack.  

Just did all this last weekend at Red River Gorge in KY.  Fortunately only a one nighter!