What is the most logical next event?

How to modify alimony when a supported ex refuses to work
Identify the type of alimony you pay.
Not all alimony is the same. The type of alimony you pay will determine when and how you can seek to modify it.
Take out your divorce decree and read it to see what type of alimony the judge awarded : Rehabilitative alimony. A court often grants this kind of alimony to allow a spouse to get an education in preparation for entering the job market.