My theory has been, regardless of the day, if you don't shoot the antlers you see pretty much as soon as you see them, then you generally won't be happy with them anyway....
I almost let a buck that was close to 160 inches in the hill country walk 2 years ago, but when the rain finally quit and I could see him better, I whacked him as soon as I found the ammo in the backpack and could load the gun.
Others that I"ve seen over the years, let walk, then shot later... have never impressed me once they were dead...