Originally Posted by 
JDNSW
				
			 
			I think, if I understand the situation, that there is a lot of barking up wrong trees.
If the brake is binding in only one spot during rotation of the wheel, the only possible cause is that the braking surface of the drum is not concentric with the axis of rotation.
This can have several possible causes. Working out from the centre:-
1. Bearing issues - worn, or not sitting square in the hub, possibly due to dirt or a bit of metal on the seat, or faulty manufacture of the hub.
2. Mounting surface for the drum is worn, damaged, got dirt or rust on it, or poor manufacture of the hub.
3. (most likely) Mounting surface on the drum is damaged, oversize, rusty, or not concentric with braking surface.
4. Drum is warped, cracked, or otherwise damaged.
I had to replace a new drum on my County, because the mounting circle was not concentric with the braking surface.
Any alignment issues with the shoes, backing plate etc will result in lost motion and poor braking, but cannot result in binding at one point in the wheel rotation.