Would be interested in what others say here, but from what I have experienced, carp eyesight sucks. Sometimes less than a foot from face in clear water and they don't see the fly. The fly isn't going to appeal to their sense of smell either. What I am getting at is the pattern might not matter in the conditions you describe. If they are mudding in already turbid water, they are likely just sucking in matter, and expelling water and other things they don't deem as food.
That said, I recently listened to a podcast with John Montana - and he said something along the lines of carp being able to inhale food that is like 1.5x their body length away from them. Again, in the conditions you describe, not sure the pattern will matter all that much. You just need the fly to get sucked up... which may not be done intentionally by the carp.
Again, interested in what others have to say here.
In general, I favor the Trouser Worm, Carpnasty, and Jan's Tickler patterns for carp. Lots of people swear by the John Montana hybrid, but I haven't had one eaten yet.