I have not had to deal with this personally and I admire you for trying to stay a step ahead.
It sounds like you did the right thing by letting these people know your $$ crunch but that is not enough.
How about making a deal with them to pay as much as you can (your terms not theirs). They will at least be getting some form of payment per month vs nothing. Many people are offering nothing right now...as far as paying off their monthly bills. I think they will budge at a point and the $ amount you are getting right now from them is just a beginning negotiating point to see how much you really will pay them per month.
Don't accept the "no" from the first few people you talk to. Keep callling back until you get the anser you need. Talk to supervisors, etc. I do this with airlines all the time when hubby needs to change a flight and I am told NO. Keep calling back...someone will have a heart and help.
They need people like you who are willing to cover their own expenses but within reason with the economics of today.
Best wishes to you and your family.