Switch cane and hill cane are very similar. Both are about the same diameter(to 1/2") and height(6' to 7') but the switch cane usually has thinner walls and the sulcus(indentation above a node) is more pronounced in switch cane. Hill cane has thicker walls with a small center hole and there is very little sulcus above the nodes. Hill cane only grows in the southern Appalachian Mountains and is the only native cane that is deciduous.
River cane grows to 12' to 15', has relatively thin walls with a large center hole, it grows to 3/4" to 1" in diameter so normally only the top of a culm(cane) is used for arrows. River cane also has very pronounced nodes and a longer, wider sulcus.
I have very good arrows made from all three native US cane. I prefer hill cane because it grows here.
Hit me at the classic next year, DBar. I'll have some more then.