Do you have gradual or flu-like onset?
If it is gradual onset (and maybe if it isn't), have your thyroid checked: T3, T4, TPO. If there is something a little bit strange (say TPO up a bit, but still OK), then check the most common anti-bodies (I think there are 2 out of 4 or 5). Any decent doctor should do that.
If it is flu-like onset (or even if it isn't), I would advise that you go to a university hospital that has a department for the diagnose of infectious diseases. They will probably find nothing, but they know what to check for, e.g. the most common viruses, depending on you presentation. It is important to rule out "obvious" things first: E.G. HepC and the like they will know. Write down the most important symptoms before you go there, try to make it clear and short, try to make up your head about what your important or big symptoms are an infectious disease doctor hasn't got the time for your life story. If he/she doesn't find anything, it maybe a good idea to move on to a ME/CFS specialist.
And all these tests that you mention won't help you much unless you have a doctor who is willing do something about them and usually doctors aren't swayed by tests they didn't order I did all the tests you mention (except HGH) and then some more, and I am not a bit smarter, but a lot poorer. I have some possibly active viruses, but don't have the money to do proper Realtime-PCR and I have no doctor that could do something about it at the moment anyway
If all is to no avail: Find a doctor that is specialized in ME/CFS that you can consult once a year that is better than doing some tests you know little about. Be warned, there are quacks out there.
You need to write which country you are in, so people can help you with a lab!