Not normally an advocate of ducking obligations but cutting up the credit cards and stop making payments toward that debt might not be the worst decision you've ever made.
When they eventually call you to collect you can explain that you do not have the money to pay them but you would consider trying to pay some "settled" amount in exchange for forgiveness of the rest of the obligation. Let them twist for a bit (months most likely and when they reach out again make the same offer). I'm not sure exactly what that process would look like but I know they can't throw you in jail, take your house or dock your pay over unsecured consumer debt. Are these cards issued through your bank or just the Citibank, Capital One's of the world? It would certainly kill your credit but if you already have your house financing secure and reliable transportation, or the ability to pay cash for cars in the near future, I would think you'd survive and have a monthly surplus of 1,600 instead of a deficit of 1,300.
ALL OF THIS PRESUPPOSES THAT YOU ARE NOT CONTINUING TO SPEND MORE THAN YOU BRING IN!!!
I don't have any idea what effect this strategy might have on the FAFSA / Financial aid for your college student.
Is the son, spawn of both you and your wife, or just you and an ex?
Sorry you're in that spot and good luck!!