I don't know a lot about Petfinder - but could you post something there asking for help/a new home for these babies?

I wonder if any of the rescues in your area, or SPCA/Humane Society, are trying to get a TNR program going. It won't solve your immediate problem - but has worked really well in places to lower the number of stray animals.

Maybe even a phone call to your congress member's office? Staff there are connected with just about EVERYTHING - and you could pitch for low-cost S&N and more funding for shelters.

I hope someone else here has a good idea! Bless you for helping these critters!