Well…
i don’t know if i really undertand your problem, but i think you can sold it making a copy of your background layer, put the 2 layers of the background side by side, create a null object to manipulate de layers, make a keyframe in position of null to start position with the first layer at the center of the composition and a end position with the second layer at the center the composition, create a loop out expression in the position property of null object and enable motion blur if you want.
Alexandre Braso
http://www.pixelsrender.com.br