I took some of your advice, and wrote to the anesthesiologist's office about our $1200 bill. I let them know that we fully intended to pay in full, but that we would need to make monthly payments. I got a statement back from them saying that they had cut our bill in half, and would accept monthly payments of whatever we can afford until it is paid off.
I also had previously sent off paperwork to the hospital to see if we qualified for making a smaller monthly payment than the hospital required (which was an absurdly high amount). I got the paperwork back that said that we qualify for 100% bill forgiveness, and that our balance is zero. Heck, I wasn't even trying to have my bill erased--I just wanted more manageable monthly payments, but I will take it if you are offering!
I guess this means that we are money poor, but I am really okay with that, because my life is more rich than it's ever been.