I appreciate the update and, of course, wish you all the best wherever you go.

As for your question about your husband's resume, I can definitely empathize. I've done many short-term jobs and left them off of my resume. 

In his case, perhaps he can give a year range as you suggested and then list the projects he did (not necessarily including company names).

For example, 2011—Present
 (describe project A)
 (describe project B) and so on.

I lived in Japan for 15 years and worked for about six companies, at least one of them twice, so I just include the year range (1982–1997) and what I did (editing, writing, teaching).

I hope this information is helpful, and again, all the best to you and your family.

Jackson