If you click on the design in the user interface, you can move it up and down, left and right using the arrow keys. That gives a precise amount of movement. If you zoom in closer, that movement is even smaller.
This older post explains how you use shift to line up a design to a mark on the material.
And here is one way I did it. Snap marks really didn’t make much of a difference. It does explain how to break up a design.
No overlap is needed. You can just nudge the next part of the design up to the previously cut part and it will continue to do what you want.