How about asking your vet and/or Humane Society about companies that transport pets?

I don't know how big your town is - and it's Friday - but a note on a few bulletin boards???

Are there people moving in right after you leave? I know it is a long shot...but I wonder if they are cat people and would lend a hand, to at least give you a few days to find someone else.

If there are pet stores and groomers in your area, ask them too, about a place for your cats to stay. They know their customers!