Both are great broadheads. I have killed deer with both. With your setup, either should be just fine. They both leave wicked entry and exit holes. I shot a large doe this morning with a woodsman and she might have lasted 10 seconds after the shot.
The broadhead clipped a nearside rib, took out both lungs and liver, punched through the center of an offside rib, then ripped a gaping hole in her hide. The blood trail was impressive, though pretty short (maybe 50 yards).
The Woodsman may penetrate a bit better, otherwise you can't go wrong with either, IMHO.
Just pick one, make it sharp and fill the freezer.