Thanks very much snapper. I'll definitely give it a try.
I've already tried soaking in Areo-Kroil and using vise-grips, and even drilling and inserting a jack handle and then using a 24-inch cheater pipe on the jack handle while stabilizing the frame by gently stepping on it while it lays on a thick rubber mat. I can see the frame flex while I apply torque back and forth, but I know not to torque it so much as to deform the frame. I've thought about the hammer trick (same principle to using a slide hammer to remove dents from a car), so I'll have to add that to my seat-post removing repertoire.
Here's another idea that I've had: I recall seeing some venetian-blind cleaning procedure within the past 15 years or so whereby the venetian-blind assemply is immersed in a bath of water, and then vibration caused by high-pitched sound would cause all the dirt to be removed and float away. I wonder if the same would work with rust, specifically a stuck seatpost in a bike? Just speculating here, but does anyone have any experience with that type of equipment? I haven't thought thru all of the physics involved with such a procedure, so I apologize in advance if it sounds like a fruitless endeavor.