Try the lat pull-down in front of your body.

A Safer Lat Pull-down

On the pull-down machine, lean back a few degrees, use a wider-than-shoulder grip, and bring the bar down in front of your body to the breastbone, pulling shoulder blades down and together. Contract your abdominals to stabilize the body, and avoid using momentum to swing the bar up and down. The lat pull-down works the muscles of the upper back.