Bruce,
Try this: discuss this with the office manager and arrange for the office to open at, say, 10 AM for two or three days, while also contacting the inspector to explain the legal requirement that he and you ONLY be there when the office is closed... meaning before 10 AM on one of those days. When he commits, tell him thank you, and tell him you're going to tell the office they can go ahead and take appointments before ten on those other days.

I've found if you give somebody two or three days to choose from, they might commit to one but then show up on another one because, hey, you said that was a day when they might show up. You'll want to close off the days he doesn't choose.