From my past experiences a combination of Israeli Carp, KOI and Channel Catfish will control FA. The downside is some mudding of the water.

For those that don't fish their pond, lots of plants help. And with lots of plants you probably need some grass carp but not too many.

Since I am starting over after my fish kill I have lots of FA right now. In the archives someone seemed to be having some FA control with GSH. That is what I am starting with this time. But it will take a season to see what happens. If I get desperate I can always go to the FA fish-eating combo.