That is terrible, and the story of the woman who died waiting to be seen is horrible. But not all medical care in the US stinks. I work at a psych office where we see people with or without insurance. With county funding, many people are seen at not cost to them, and others only pay $10-20 per visit. We have lots of clients with Medicaid. There is a medical clinic nearby who sees uninsured and underinsured people on a sliding scale based on their income.
And the local hospitals are pretty good about seeing people quickly in the ER, but it is partly because it is such a quiet area. When I lived in a big city, you would never be seen at the ER with c/o coughing spasms. They simply had too many heart attacks, knife or gunshot wounds, and other immediate life threatening emergencies. Here, even with a minor injury, we get seen within an hour.
We also have lots of urgent care clinics. I don't know if they take Medicaid for the full fee, but I'm guessing it would cost less that $126 to be seen. Maybe you can call your Medicaid office and ask which local docs or urgent care clinics accept Medicaid. One of the problems is that Medicaid often pays less than it costs the doctors to see the patients. So lots of doctors refuse to see Medicaid patients, or limit the numbers.
I have a nasty chest cold, and am fortunate to be able to see the doc and get meds. Even so, with the kids sick, and with co-pays, I've already spent over $110 this week on docs and medicines.