You've touched on a couple of very important points that I hadn't considered. I'm going to include them in my email for a mass send to the list of brokers you have recommended.
Thank you for reaching out. I am interested in learning more about health insurance options in Thailand and would prefer to communicate via email for more detailed information. Could you please provide Peter Wands' (husband) email address so I can contact him directly?"
The truth is: If you have a Non-O visa based on marriage, you should legally be able to work in Thailand, as long as your employer obtains a work permit for you. There is no need to leave the country to obtain a business visa, as your marriage visa grants you the right to reside and work in Thailand, as long as you follow the work permit procedures.