Another option is to plant things like hardy lilies and *gasp!* cattails (in controlled areas) that will incorporate nutrients before the FA can get to it. If there are other plants to compete with the FA, then it will minimize FA from taking over.
Otherwise, a more permanent solution is chemically tie up the nutrients as suggested. Otherwise just killing it will liberate nutrients until the toxin (to algae) is gone, or some other plant that is immune to the toxin takes over.
