Seems very odd. Usually when having serious problems achieving star alignment it’s either down to wrong location data or using the wrong time or not allowing for summer/winter time changes. A friend of mine just starting spent ages trying to solve the problem before realising he had entered the Lat and Long data incorrectly, even starting off mixing up being east or west of the Greenwich meridian. You though appear certain you have done everything right. How do you do your polar alignment? You mention that after you have done it you set up the weights and tube. This seems to me to be an odd way of doing it, why not completely set up the whole lot, scope and weights and everything else you will be using, and then do your polar alignment? That way you will not run the risk of moving the mount away from polar alignment when you add the rest of the gear. Also try using the handset for all the stars, including the first, I have never released the clutches and moved the tube manually for the first star, seems a waste of time as it will not know where it is aimed at after starting from the parked/home position and makes that first star alignment rather pointless. After doing my PA, I use a Polemaster for photographic accuracy, I only use two star alignment as with my system that allows me to name the two stars I wish to use so I can select a good spread across the sky and both away from Polaris for better accuracy. I find that with both stars the mount will move close enough so that the star will definitely be visible in the eyepiece but will need a little adjustment using the handset to get it precisely centered.
Anyway, keep trying and check everything, I am sure you will sort it out eventually and find it was something easy to fix. Good luck.