Problem/Motivation
So that the linearity of the workflow can be understood and the states can all be seen in one place, style it like a button bar.
Proposed resolution
The design looks like this:
Which is a direct screenshot of the preview from this codepen example of how it can work: http://codepen.io/tkoleary/pen/zZjKpe?editors=1100
It borrows styles from button classes, uses no javascript and is natively accessible since the markup is just checkboxes.
Remaining tasks
Make patch
User interface changes
Instead of a select box there is a bar of buttons for the states.