How do I go without pursuing child support?

I am pregnant with my 2nd child. The father of my first child is not in the picture nor has he ever been. My son is now 3 years old and pursuing him for child support would only confuse him. This is the thing I have health insurance through my husband but it turned out not to be that good. It would cost us $400 for the first 5 doctor visits without delivery cost or a sonogram. I have applied for medicade and they are telling me I have to fill out an absent parent form for my 3 year olds father so they can find him for child support. I don't want anything from him. As soon as my husband and I save enough money he is going to adopt my son. How can I still get help without giving them a name?