I ordered and have now replaced the water fill valve based on your input. I was successful in replacing the valve without too much trouble. The grumbling noise has now stopped although the dishwasher still does not take in water. I know water is available at high pressure as I found out when loosening the incoming line to the valve water began to seep out so I cut the water at my main supply.
I also popped off and cleaned the float valve/dome in the tub area. The inner piece seems be loose enough to work properly.
I also poured about a gallon of water in the tub and hit start. Although the machine made the proper noises I could tell no water was entering and after cycling through the water I poured in was successfully discharged/drained.
Any other things I can check? A relay? Anything? I called GE Tech support and they gave up after I repeated all the steps I had taken other than "schedule a service tech"
Oops, the model number in case you need it isGSD5320D02BB
After looking at the parts diagram, and the bottom of the dw, there is a red wire leading from the connector into what may be the float switch. its in a black housing/cover with wires leading from it into a bundle heading into the control panel.
It appears to have a snap cover of some sort but it is all hidden behind a metal plate with no visible means of being able to remove either the plate or the plastic cover.