I've not been washing yeast for all that long, but from what I've experienced, once you get it off the trub, you could be looking at days before things fully settle out. Put the entire thing into the fridge (normal temps, not a beer fridge) and let it continue to settle.
I actually have a batch of yeast in jars, in the fridge, right now. There was a LOT of yeast, so it's taking a bit more time than my first washing did. The yeast harvest I took out of the primary was more than enough to fill up a gallon jar (with some water/liquid in there too)... Once it all settles out, I'll put it into smaller jars, for storage.
How many doses are you planning on keeping per each harvest? Personally, I'll be happy with either two or three doses per harvest/washing. More than that means that I won't be able to use it fast enough. I'll probably re-examine my yeast desires and come down to either one or two strains to use for most of my brews. I don't mind buying yeast for brews that are different than what I normally brew. Although, I'll probably harvest those too. I can also see freezer storing yeast come next year (when I'm able to get a small chest freezer for yeast). It also means that it gives me more time to get the hardware I'll need to properly freeze the yeast.