S.W.
Does he belong to any drafting associations or networks? These days, posting your resume on websites or searching websites for jobs just doesn't work for most people. It's all about who you know. What about people he has worked with before? Does he still have their contact information? Maybe they know of companies that are hiring drafters. Membership associations often hear about openings before anyone else because that's where they know the best applicants are.
UPDATE: I'm not familiar with drafting, but there's a job opening with the City of Irving for an Architect/Project Manager. The City of Irving is a good place to work, if this is something he is qualified for. Also, I know the City doesn't post their jobs anywhere but the city's website. Your husband should search website for companies in the area.