Sounds like a hot no start. Need to be able to read icp and ipr % if ipr is screaming 84% chances are you have a high pressure oil leak. Has you stand pipes and dummy plugs been updated? Common to fail in the 04.5 and up. The newer models require the updated stand pipes and dummy plugs. Also the STC fitting is known to blow out and cause a no start. This also is required for updating to the new style. Another thing you said your ficm was 44.3 the volts should never drop below 45 volts. Normal readings are 45.5 to 48.0 volts. Once they start to drop below 45 volts you will start having issues. So look into replacing the ficm soon.
Back to the issue. If the issue happens when fully warm , you shut it off and then it won't start back up right away. But if you cool it off and then it will start. You prolly have a hot no start caused by a high pressure oil leak. Once the oil thickens due to cooling off then it can build enough pressure to fire. If you have updated stand pipes and dummy plugs already. Chances are you will need to air test the system to find the leak. You tube diesel tech ron. He has good videos on this test.
Back to the issue. If the issue happens when fully warm , you shut it off and then it won't start back up right away. But if you cool it off and then it will start. You prolly have a hot no start caused by a high pressure oil leak. Once the oil thickens due to cooling off then it can build enough pressure to fire. If you have updated stand pipes and dummy plugs already. Chances are you will need to air test the system to find the leak. You tube diesel tech ron. He has good videos on this test.