I suspect if you check with your game department the device would not be considered a bow but a sling shot. The definition you posted from your state's regulations simply defines a mandated bow draw weight and minimum measurements for a broad head and must be drawn and held by hand. They will turn to Webster or other dictionary for a definition of what is a "Bow". The definition starts by saying "any bow" it is not a definition of a bow per se, but it defines what is a legal bow to hunt with. Your sling is interesting and it certainly is a weapon, but I would not hunt with it until you check with your game department