Wrenchbender, you got me thinking about the e-brake adjustment. I had ignored it because the previous owner had disconnected the pedal. After further investigation, it turns out that the cables were stuck part way deployed. That would explain why the drums were shot and the shoes were worn down to the rivets. I loosened up the cable and made sure the levers in the drum were retracted. Works great now.
Thanks!
Now I need to replace some e-brake cables and get that back to normal.