River cane(Arundaneria gigantia)is only one of the 3 native US canes. All three make good arrows, some better than others. You can also get Tonkin cane(Japanese)which is sold as plant stakes in garden centers or other non-native cane varieties like Japanese arrow bamboo or Bambusa multiplex from some plant nurseries or on line as started plants.
I like Hill Cane(Arundaneria appalachiana),a native cane that grows only here in the Appalachian mountains but also switch cane(Arundaneria tecta,)sourwood shoots, blackhaw viburnum or red osier dogwood.