I have similar problems...with more symptoms.
Solenoid has not yet been brought up in my posts.
Question: When you turn your key all the way over, do you hear a 'click'? Is there any symptoms PRIOR to this happening?
I know yours is not draining your battery, but mine sometimes does, but most the time does exactly what you say...Starts eventually.
Here is a link to my posts:
300TDT won't start!
My God, Another problem
I will be following your posts as well. Hopefully we can both get our Diesels exorcisized!!