@Gemma *****************
makes no difference if your name is on a lease or not when you go to apply for a DTV at a thai consulate in another country.
Your husband will get a Non-B visa based on employment, you will get a Non-O visa based on marriage to a foreigner who legally works here
You're correct you can legally work IN thailand for a thai entity (as in hold a work permit)
Should have no issue at all going to a thai consulate in another country and applying for a DTV