Did someone report you to them about feeding and housing them?? Normally they don't get involved if they aren't given a heads up. I know I was stressing when I turned in a bat my guys had killed in the house (freaked me out), and then the health department wanted copies of all their vaccinations within 5 days and some were behind, and the fosters were way out of date (giving vaccinations to the FIV guys every year is not recommended). Thankfully when when asked how many cats I had, I was clear headed and said "Four." I think at that time, I had about 13 total (mine and fosters), so any inspections would have been a disaster.

Is there any way to conceal the enclosures once the city inspectors are happy with what they see? Try to make something that is "part" of the house looking kind of deal? Poor things. I hope you can find a solution for them and for the ones inside. Will they inspect your entire house??? Do you have a crawl space or something where you can tuck them into while the people are there that they wouldn't suspect anything being in? Or a friend who can take them for a few days when it's close to the 30 days???