Hill cane(Arundaneria appalachiana) only grows in the Appalachian Mountains. From your location I would guess switch cane(Arundaneria tecta) or river cane(A. gigantia). If it is short(to 6') it is probably switch cane(A. tecta) and will make good arrows.
Cut the culms(shoots) at the ground but only ones that the paper like sheath has deteriorated. If you cut the ones that are about 3/8" at the base.