Welcome to the GPF! How about telling us a bit more about your pond - how big, how many fish and what kind, what kind of filtration... any details you can share will be helpful.
And just a word about algae - doesn't matter what kind, it's all the same basically. It's out of control because you have an excessive amount of nutrients in your pond. Maybe too many fish, maybe they've outgrown the pond, maybe you have too much decaying organic material, maybe you're overfeeding the fish... whatever the cause may be, once you determine what it is and address it, the algae will go away all on its own.
And we hear all the time hear on the forum that "I've had this pond/these plants/these fish for many years and never had a problem". We think everything is the same, but in reality nature is always changing. Fish grow, plants grow, plants die... it's never static. And sometimes those changes create things that we consider undesirable, but in reality they are doing what nature intended them to do. That algae may be keeping your pond healthy for your fish.
And one last thing... I know you already did it, but power washing a pond is really not recommended. By doing so you remove the biofilm that is an essential part of the eco-system of your pond. Once a pond is established you really don't want to empty the pond and start fresh. "New pond syndrome" is what we call that.
Hope that helps. Oh, I guess I should answer your question about the plants! I would just pull as much off by hand as you can and drop them back in the pond. It's unsightly, but not harmful in any way. And as the pond achieves balance it will disappear on its own.