Fish traps, including but not limited to floating, pile-driven, or hand-driven fish traps, may not be erected, moored, or maintained on or over land, tideland, submerged land, or water owned or otherwise acquired by the state. This section does not prevent the maintenance, use, or operation of small, hand-driven fish traps of the type ordinarily used on rivers of the state which are otherwise legally maintained and operated in or above the mouth of a stream or river.