I am having the same problem with my Kenmore HE4T.
I have replaced:
Water Inlet Valve
Water flow meter
NO LOVE! The machine is still kicking into the FH error after about 2 minutes. I run the diagnostic check and the machine fails at C:01
I have read so many forums and seems none has the right fix for me.
I am exhausted and frustrated!
Any idea at all if there is any other checks or tests that I run. I have replaced every part I believe I can.
I also have check pressure from my house supply to make sure this is not to blame and house pressure seems to be fine.