What would make a car sound like a big rig stoping?

There is surely a better description for the loud sound than "big rig". Anyway...
My best guess is a spring/part. A return wasn't attached properly or simply broke and is now laying in the bottom of the drum or a retainer/cap on a hold down spring failed.
In any case you'll need to pull the drums and have a look. There are conditions like loose parts that will lock down a wheel when you least expect it. I had a 71 Gremlin go nearly 180 degrees around once because the hook end of a spring broke.

Well, I would call it a loud and high pitched squealing noise. but not like a car make, I have only heard rigs make that nose stopping!... I never had heard a car make that nose until mine done it!