Whenever I think of muddy water, I think of fish that aren't relating as closely to cover, whether if its wood, rock, or grass.
Use baits that move a lot of water and create vibration.
Start with a Colorado bladed spinnerbait in a dark color,2.0 square bill in chartreuse/black back or as said a black/blue chatterbait.
If you can't get a bite on a moving bait, try any number of big plastic baits or jigs. I'd start with a texas rigged brush hog or jig. Again select plastics that are dark (junebug, black/blue, Black), upsize them, and select baits that move water with extra appendages. This is where a creature bait excels in my opinion. However, they aren't always the best bet depending on cover being fished.
Also, a buzzbait or frog early and late...
I'd focus on the moving bait bite, and if that fails, I'd slow down and pick apart any obvious cover.