That such a friend
for logic your problem is with the fan since when going circulating it does not heat up since it receives air, Czech that is in good condition the band, the Fanclutch, tests with a fan with more blades, the fan of the fan, that the fan is not very separated from the radiator etc.
I recommend that you put the plug to the radiator at least 9 pounds, if there is too much precion in the cooling system or risk that the head packaging is damaged, as well as a test with the cold engine filled the water radiator and fix that they do not leave air bubbles that indicate compression of the cylinders.
Good luck and I'm to serve you