I am trying to put a label (rectangle image) on a cup, the surface of the cup is on an angle and is cylindrical. The issue i am having is creating a small gap or having the ends touch each other. No matter what I try the image always gets distorted in this area.

If I use the cylindrical mapping I get the following issues:

There is always this centered image in between the ends of the image, even if I make the ends touch. 

If I use the label mapping I get these issues:

With a big gap I get it to look fine

If I try a small gap this happens,the image ends start cutting off on sharp angles 

This is how it looks if i overlap 

It appears a line is created in label mapping that no image can go beyond