Pain in the neck!

[BodhiTree]

Have you tried raising the bars?

Generally the dominant side (are you right handed?) will take more stress if the bars are too low. That shoulder will tend to protract because of the greater development of the pects on that side, and if the bars are too low the upper trapezius will go into over-drive trying to keep you balanced.

Shifting the bars to the side will help with the unbalanced aspect, but still it's a bandaid to cover the possibility that the bars are simply too low.

Motorcyclists on ninja-bikes have this same problem. They have low bars. Watch them on the freeway sometime. They are constantly putting one hand behind their backs. You don't generally see this with Harley or touring motorbike riders.