Well I'll be damned.... I just went out and jacked up the left rear of my car with it running and e-brake on. I didn't hear any ratcheting sound. I got in the car, put my foot on the brake, put it in reverse, let the e-brake down and eased off the brake just a tiny bit. When I did this, I could feel the car move just a bit. I let it back down off the jack, put it in drive and lo and behold, she moved. She does idle a bit rough now and the interior lights flicker, if you will, just a little with the rough idle. I'm not sure why jacking the rear of the car up worked, but I'm one step better than I was before.
I'm still nervous about driving it anywhere right now. I'll start working on it tomorrow and post which route I decide to go and what results I get.