My koi are of the size now where they can easily topple pots, so this year I have had to deal with this problem several times. I had a large pot of creeping jenny and Jack, our biggest koi, had a wondeful time knocking it over and rooting every bit of clay and every single pebble out of the pot. When I finally figured it out, the creeping jenny was bareroot, floating, nibbled on and the pot was on the bottom of the pond, completely empty. It happened again when I put some lily divisions (now they all go into the stock tank until they are established and more koi proof. They don't mess with them once they are big and well rooted.)
It takes a few days or even a week for the turbidity to settle out in my pond, but if you have a powerful fountain or a waterfall, it will keep things stirred up for a longer period. Everything had settled out in my pond, then I moved the fountain around and it got slightly turbid again.
Things that help: quilt batting! I set up an extra five gallon bucket filter filled with a bit of lava rock from the bio filter and layers of quilt batting. My pond isn't as big as yours, but quilt batting in any running water source will help remove the fine particles. If I got obsessive about clearing it up fast, I hosed it off every day or more frequntly. I figure next time I get everything settled again and *really clear*, I'll vaccuum the pond. I know how much clay was in that pot (a lot!)
A partial water change won't hurt, either. The fresh water has a tendency to settle the clay particles out of suspension, too.