You'll probably find that during bow season there are a lot less hunters out in the woods than during the firearm season. I always enjoy bow season because it's the season for real hunters and skilled hunters. So, you will most likely find the woods will not be too crowded.

I always abide by first come, first served in public lands. So, always scout multiple areas in case you discover another hunter already beat you to your preferred area.

As for how to hunt public lands, I tend to recommend going deep and very deep. Further into the woods than a normal hunter would go. This way you can be assured no other hunters will be bothering you. You might also consider huntingt he edges of the public land where they are adjacent to private property. Deer will meander between to the two parcels.

Good luck and be safe.