I'm with Secretum. Stuff things in closets, dryers, under the bed, wherever... just do a surface clean-up.
As long as the, bathrooms, kitchen and floors are actually clean, I don't see how they can have a problem. Is there no way to get the grass cut by a family member or friend? If not, a neighbours child is a good idea.

Remember, 1 breath at a time, 1 task at a time.
You can do this without falling apart I know you can

Can't you take a cab to go see your T and have Miguel and your hubby at home with the housing people?
Or call and find out what time the inspection is and explain to them that you have a medical appointment?

Take it easy, breath, I know thats NOT easy, but its well worth the effort. We all know where getting overwhelmed leads us, and I'd hate for you to go down that road.

Play some nice loud music to give you guys the motivation for "operation tidy-up"

I'd help if I could, would even figure out how to cut grass